Availability: Hyperbolic complex spaces | Technische Universität München

Hyperbolic complex spaces:

Saved in:

Bibliographic Details
Main Author:	Kobayashi, Shōshichi 1932-2012 (Author)
Format:	Book
Language:	German
Published:	Berlin ; Heidelberg Springer 1998
Series:	Die Grundlehren der mathematischen Wissenschaften 318
Subjects:	Hyperbolischer komplexer Raum Analytic spaces Distance geometry Holomorphic functions Holomorphe Abbildung Komplexe Geometrie Pseudoabstand
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007978358&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Item Description:	Hier auch später erschienene, unveränderte Nachdrucke
Physical Description:	XIII, 471 Seiten Illustrationen
ISBN:	9783642083396 3540635343 9783540635345

Staff View

MARC


LEADER	00000nam a2200000 cb4500
001	BV011814822
003	DE-604
005	20220405
007	t\|
008	980303s1998 gw a\|\|\| \|\|\|\| 00\|\|\| ger d
016	7		\|a 953007324 \|2 DE-101
020			\|a 9783642083396 \|c softcover \|9 978-3-642-08339-6
020			\|a 3540635343 \|c hardcover \|9 3-540-63534-3
020			\|a 9783540635345 \|c hardcover \|9 978-3-540-63534-5
035			\|a (OCoLC)245728282
035			\|a (DE-599)BVBBV011814822
040			\|a DE-604 \|b ger \|e rda
041	0		\|a ger
044			\|a gw \|c DE
049			\|a DE-824 \|a DE-20 \|a DE-703 \|a DE-29T \|a DE-384 \|a DE-355 \|a DE-706 \|a DE-634 \|a DE-83 \|a DE-11 \|a DE-188
050		0	\|a QA331
082	0		\|a 515.94
084			\|a SK 380 \|0 (DE-625)143235: \|2 rvk
084			\|a SK 780 \|0 (DE-625)143255: \|2 rvk
100	1		\|a Kobayashi, Shōshichi \|d 1932-2012 \|e Verfasser \|0 (DE-588)107956209 \|4 aut
245	1	0	\|a Hyperbolic complex spaces \|c Shoshichi Kobayashi
264		1	\|a Berlin ; Heidelberg \|b Springer \|c 1998
264		4	\|c © 1998
300			\|a XIII, 471 Seiten \|b Illustrationen
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	1		\|a Die Grundlehren der mathematischen Wissenschaften \|v 318
500			\|a Hier auch später erschienene, unveränderte Nachdrucke
650		4	\|a Hyperbolischer komplexer Raum
650		4	\|a Analytic spaces
650		4	\|a Distance geometry
650		4	\|a Holomorphic functions
650	0	7	\|a Holomorphe Abbildung \|0 (DE-588)4160471-4 \|2 gnd \|9 rswk-swf
650	0	7	\|a Komplexe Geometrie \|0 (DE-588)4164898-5 \|2 gnd \|9 rswk-swf
650	0	7	\|a Pseudoabstand \|0 (DE-588)4335987-5 \|2 gnd \|9 rswk-swf
650	0	7	\|a Hyperbolischer komplexer Raum \|0 (DE-588)4138418-0 \|2 gnd \|9 rswk-swf
689	0	0	\|a Komplexe Geometrie \|0 (DE-588)4164898-5 \|D s
689	0		\|5 DE-604
689	1	0	\|a Hyperbolischer komplexer Raum \|0 (DE-588)4138418-0 \|D s
689	1	1	\|a Pseudoabstand \|0 (DE-588)4335987-5 \|D s
689	1	2	\|a Holomorphe Abbildung \|0 (DE-588)4160471-4 \|D s
689	1		\|5 DE-604
776	0	8	\|i Erscheint auch als \|n Online-Ausgabe \|z 978-3-662-03582-5
830		0	\|a Die Grundlehren der mathematischen Wissenschaften \|v 318 \|w (DE-604)BV000000395 \|9 318
856	4	2	\|m HBZ Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007978358&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
943	1		\|a oai:aleph.bib-bvb.de:BVB01-007978358

Record in the Search Index

_version_	1819359693216153600
adam_text	Table of Contents Introduction IX Chapter 1. Distance Geometry 1 1 Pseudo distances 1 2 Degeneracy of Inner Pseudo distances 7 3 Mappings into Metric Spaces 8 4 Norms and Indicatrices 13 Chapter 2. Schwarz Lemma and Negative Curvature 19 1 Schwarz Lemma 19 2 Negatively Curved Riemann Surfaces 25 3 Negatively Curved Complex Spaces 30 4 Ricci Forms and Schwarz Lemma for Volume Elements 35 5 Metrics in Jet Bundles 41 Chapter 3. Intrinsic Distances 49 1 Two Intrinsic Pseudo distances 49 2 Hyperbolicity 60 3 Hyperbolic Imbeddings 70 4 Relative Intrinsic Pseudo distance 80 5 Infinitesimal Pseudometric Fx 86 6 Brody s Criteria for Hyperbolicity and Applications 100 7 Differential Geometric Criteria for Hyperbolicity 112 8 Subvarieties of Quasi Tori 116 9 Theorem of Bloch Ochiai 124 10 Projective Spaces with Hyperplanes Deleted 134 11 Deformations and Hyperbolicity 148 A Royden s Extension Lemma 153 B Nevanlinna Cartan Theory 159 Chapter 4. Intrinsic Distances for Domains 173 1 Caratheodory Distance and Its Associated Inner Distance 173 2 Infinitesimal Caratheodory Metric 178 VI Table of Contents 3 Pseudo distance Defined by Plurisubharmonic Functions 184 4 Holomorphic Completeness 187 5 Strongly Pseudoconvex Domains 192 6 Extremal Discs and Complex Geodesies 202 7 Extremal Problems and Extremal Discs 206 8 Intrinsic Distances on Convex Domains 215 9 Product Property for the Caratheodory Distance 221 10 Bergman Metric 224 A Pseudoconvexity 234 Chapter 5. Holomorphic Maps into Hyperbolic Spaces 239 1 Normality, Tautness and Hyperbolicity 239 2 Taut Domains 251 3 Spaces of Holomorphic Mappings 256 4 Automorphisms of Hyperbolic Complex Spaces 262 5 Self mappings of Hyperbolic Complex Spaces 268 Chapter 6. Extension and Finiteness Theorems 277 1 The Classical Big Picard Theorem 277 2 Extension through Subsets of Large Codimension 279 3 Generalized Big Picard Theorems and Applications 282 4 Moduli of Maps into Hyperboically Imbedded Spaces 290 5 Hyperbolic and Hyperbolically Imbedded Fibre Spaces 295 6 Surjective Maps to Hyperbolic Spaces 302 7 Holomorphic Maps into Spaces of Nonpositive Curvature 313 8 Holomorphic Maps into Quotients of Symmetric Domains 323 9 Finiteness Theorems for Sections of Hyperbolic Fiber Spaces . . . 329 A Complex Finsler Vector Bundles 335 Chapter 7. Manifolds of General Type 343 1 Intrinsic Volume Forms 343 2 Intrinsic Measures 353 3 Pseudo ampleness and L dimension 360 4 Measure Hyperbolicity and Manifolds of General Type 365 5 Extension of Maps into Manifolds of General Type 370 6 Dominant Maps to Manifolds of General Type 376 7 Effective Finiteness Theorems on Dominant Maps 382 Chapter 8. Value Distributions 393 1 Grassmann Algebra 393 2 Associated Curves 397 3 Contact Functions 402 4 First Main Theorem 407 Table of Contents VII 5 Second Main Theorem 413 6 Entire Curves 421 7 Defect Relation 424 References 429 Index 469
any_adam_object	1
author	Kobayashi, Shōshichi 1932-2012
author_GND	(DE-588)107956209
author_facet	Kobayashi, Shōshichi 1932-2012
author_role	aut
author_sort	Kobayashi, Shōshichi 1932-2012
author_variant	s k sk
building	Verbundindex
bvnumber	BV011814822
callnumber-first	Q - Science
callnumber-label	QA331
callnumber-raw	QA331
callnumber-search	QA331
callnumber-sort	QA 3331
callnumber-subject	QA - Mathematics
classification_rvk	SK 380 SK 780
ctrlnum	(OCoLC)245728282 (DE-599)BVBBV011814822
dewey-full	515.94
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515.94
dewey-search	515.94
dewey-sort	3515.94
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02451nam a2200589 cb4500</leader><controlfield tag="001">BV011814822</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20220405 </controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">980303s1998 gw a\|\|\| \|\|\|\| 00\|\|\| ger d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">953007324</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642083396</subfield><subfield code="c">softcover</subfield><subfield code="9">978-3-642-08339-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540635343</subfield><subfield code="c">hardcover</subfield><subfield code="9">3-540-63534-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540635345</subfield><subfield code="c">hardcover</subfield><subfield code="9">978-3-540-63534-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)245728282</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV011814822</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">ger</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-824</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA331</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.94</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 380</subfield><subfield code="0">(DE-625)143235:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 780</subfield><subfield code="0">(DE-625)143255:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kobayashi, Shōshichi</subfield><subfield code="d">1932-2012</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)107956209</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Hyperbolic complex spaces</subfield><subfield code="c">Shoshichi Kobayashi</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ; Heidelberg</subfield><subfield code="b">Springer</subfield><subfield code="c">1998</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 1998</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIII, 471 Seiten</subfield><subfield code="b">Illustrationen</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Die Grundlehren der mathematischen Wissenschaften</subfield><subfield code="v">318</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Hier auch später erschienene, unveränderte Nachdrucke</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Hyperbolischer komplexer Raum</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Analytic spaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Distance geometry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Holomorphic functions</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Holomorphe Abbildung</subfield><subfield code="0">(DE-588)4160471-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Komplexe Geometrie</subfield><subfield code="0">(DE-588)4164898-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Pseudoabstand</subfield><subfield code="0">(DE-588)4335987-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Hyperbolischer komplexer Raum</subfield><subfield code="0">(DE-588)4138418-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Komplexe Geometrie</subfield><subfield code="0">(DE-588)4164898-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Hyperbolischer komplexer Raum</subfield><subfield code="0">(DE-588)4138418-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Pseudoabstand</subfield><subfield code="0">(DE-588)4335987-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Holomorphe Abbildung</subfield><subfield code="0">(DE-588)4160471-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-3-662-03582-5</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Die Grundlehren der mathematischen Wissenschaften</subfield><subfield code="v">318</subfield><subfield code="w">(DE-604)BV000000395</subfield><subfield code="9">318</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007978358&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007978358</subfield></datafield></record></collection>
id	DE-604.BV011814822
illustrated	Illustrated
indexdate	2024-12-20T10:19:05Z
institution	BVB
isbn	9783642083396 3540635343 9783540635345
language	German
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-007978358
oclc_num	245728282
open_access_boolean
owner	DE-824 DE-20 DE-703 DE-29T DE-384 DE-355 DE-BY-UBR DE-706 DE-634 DE-83 DE-11 DE-188
owner_facet	DE-824 DE-20 DE-703 DE-29T DE-384 DE-355 DE-BY-UBR DE-706 DE-634 DE-83 DE-11 DE-188
physical	XIII, 471 Seiten Illustrationen
publishDate	1998
publishDateSearch	1998
publishDateSort	1998
publisher	Springer
record_format	marc
series	Die Grundlehren der mathematischen Wissenschaften
series2	Die Grundlehren der mathematischen Wissenschaften
spellingShingle	Kobayashi, Shōshichi 1932-2012 Hyperbolic complex spaces Die Grundlehren der mathematischen Wissenschaften Hyperbolischer komplexer Raum Analytic spaces Distance geometry Holomorphic functions Holomorphe Abbildung (DE-588)4160471-4 gnd Komplexe Geometrie (DE-588)4164898-5 gnd Pseudoabstand (DE-588)4335987-5 gnd Hyperbolischer komplexer Raum (DE-588)4138418-0 gnd
subject_GND	(DE-588)4160471-4 (DE-588)4164898-5 (DE-588)4335987-5 (DE-588)4138418-0
title	Hyperbolic complex spaces
title_auth	Hyperbolic complex spaces
title_exact_search	Hyperbolic complex spaces
title_full	Hyperbolic complex spaces Shoshichi Kobayashi
title_fullStr	Hyperbolic complex spaces Shoshichi Kobayashi
title_full_unstemmed	Hyperbolic complex spaces Shoshichi Kobayashi
title_short	Hyperbolic complex spaces
title_sort	hyperbolic complex spaces
topic	Hyperbolischer komplexer Raum Analytic spaces Distance geometry Holomorphic functions Holomorphe Abbildung (DE-588)4160471-4 gnd Komplexe Geometrie (DE-588)4164898-5 gnd Pseudoabstand (DE-588)4335987-5 gnd Hyperbolischer komplexer Raum (DE-588)4138418-0 gnd
topic_facet	Hyperbolischer komplexer Raum Analytic spaces Distance geometry Holomorphic functions Holomorphe Abbildung Komplexe Geometrie Pseudoabstand
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007978358&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000000395
work_keys_str_mv	AT kobayashishoshichi hyperboliccomplexspaces

Availability

‌

Order via interlibrary loan Table of Contents