Verfügbarkeit: Riemannian geometry and geometric analysis

Riemannian geometry and geometric analysis:

Gespeichert in:

Bibliographische Detailangaben
Beteilige Person:	Jost, Jürgen 1956- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Berlin [u.a.] Springer 2011
Ausgabe:	6. ed.
Schriftenreihe:	Universitext
Schlagwörter:	Geometry, Riemannian Riemannsche Geometrie Geometrische Analysis
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024379472&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XIII, 611 S. graph. Darst.
ISBN:	9783642212970

Internformat

MARC


LEADER	00000nam a2200000 c 4500
001	BV039527115
003	DE-604
005	20110916
007	t\|
008	110812s2011 gw d\|\|\| \|\|\|\| 00\|\|\| eng d
020			\|a 9783642212970 \|9 978-3-642-21297-0
035			\|a (OCoLC)748699646
035			\|a (DE-599)BVBBV039527115
040			\|a DE-604 \|b ger \|e rakddb
041	0		\|a eng
044			\|a gw \|c XA-DE-BE
049			\|a DE-91G \|a DE-19 \|a DE-11 \|a DE-83 \|a DE-20 \|a DE-188 \|a DE-29T
050		0	\|a QA649
082	0		\|a 516.3/73 \|2 22
084			\|a SK 370 \|0 (DE-625)143234: \|2 rvk
084			\|a 58B20 \|2 msc
084			\|a MAT 537f \|2 stub
084			\|a 53C20 \|2 msc
084			\|a 53B21 \|2 msc
084			\|a 510 \|2 sdnb
100	1		\|a Jost, Jürgen \|d 1956- \|e Verfasser \|0 (DE-588)115774564 \|4 aut
245	1	0	\|a Riemannian geometry and geometric analysis \|c Jürgen Jost
250			\|a 6. ed.
264		1	\|a Berlin [u.a.] \|b Springer \|c 2011
300			\|a XIII, 611 S. \|b graph. Darst.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	0		\|a Universitext
650		4	\|a Geometry, Riemannian
650	0	7	\|a Riemannsche Geometrie \|0 (DE-588)4128462-8 \|2 gnd \|9 rswk-swf
650	0	7	\|a Geometrische Analysis \|0 (DE-588)4156708-0 \|2 gnd \|9 rswk-swf
689	0	0	\|a Riemannsche Geometrie \|0 (DE-588)4128462-8 \|D s
689	0	1	\|a Geometrische Analysis \|0 (DE-588)4156708-0 \|D s
689	0		\|8 1\p \|5 DE-604
689	1	0	\|a Geometrische Analysis \|0 (DE-588)4156708-0 \|D s
689	1		\|5 DE-604
856	4	2	\|m DNB Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024379472&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
883	1		\|8 1\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
943	1		\|a oai:aleph.bib-bvb.de:BVB01-024379472

Datensatz im Suchindex

DE-BY-TUM_call_number	0202 MAT 537f 2002 A 670(6)
DE-BY-TUM_katkey	1778703
DE-BY-TUM_location	02
DE-BY-TUM_media_number	040071328864
_version_	1821934949512511488
adam_text	IMAGE 1 CONTENTS RIEMANNIAN MANIFOLDS I 1.1 MANIFOLDS AND DIFFCRENTIABLE MANIFOLDS 11.2 TANGENT SPACES 61.3 SUBMANIFOLDS 101.4 RIEMANNIAN METRICS 131.5 EXISTENCE OF GEODESIES ON COMPACT MANIFOLDS 281.6 THE HEAT FLOW AND THE EXISTENCE OF GEODESIES 31 1.7 EXISTENCE OF GEODESIES ON COMPLETE MANIFOLDS 35 EXERCISES FOR CHAPTER 1 37 LIE GROUPS AND VECTOR BUNDLES 41 2.1 VECTOR BUNDLES 412.2 INTEGRAL CURVES OF VECTOR FIELDS. LIE ALGEBRAS 512.3 LIE GROUPS 612.4 SPIN STRUCTURES 67EXERCISES FOR CHAPTER 2 87 THE LAPLACE OPERATOR AND HARMONIC DIFFERENTIAL FORMS 89 3.1 THE LAPLACE OPERATOR ON FUNCTIONS 893.2 THE SPECTRUM OF THE LAPLACE OPERATOR 943.3 THE LAPLACE OPERATOR ON FORMS 1023.4 REPRESENTING COHOMOLOGY CLASSES BY HARMONIC FORMS 113 3.5 GENERALIZATIONS 1223.6 THE HEAT FLOW AND HARMONIC FORMS 123EXERCISES FOR CHAPTER 3 129 CONNECTIONS AND CURVATURE 133 4.1 CONNECTIONS IN VECTOR BUNDLES 1334.2 METRIC CONNECTIONS. THE YANG-MILLS FUNCTIONAL 1444.3 THE LEVI-CIVITA CONNECTION 1604.4 CONNECTIONS FOR SPIN STRUCTURES AND THE DIRAC OPERATOR 175 4.5 THE BOCHNER METHOD 182 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1011273225 DIGITALISIERT DURCH IMAGE 2 CONTENTS 4.6 EIGENVALUE ESTIMATES BY THE METHOD OF LI-YAU 187 4.7 THE GEOMETRY OF SUBMANIFOLDS 191 4.8 MINIMAL SUBMANIFOLDS 196 EXERCISES FOR CHAPTER 4 203 5 GEODESIES AND JACOBI FIELDS 205 5.1 FIRST AND SECOND VARIATION OF ARC LENGTH AND ENERGY 205 5.2 JACOBI FIELDS 211 5.3 CONJUGATE POINTS AND DISTANCE MINIMIZING GEODESIES 219 5.4 RIEMANNIAN MANIFOLDS OF CONSTANT CURVATURE 227 5.5 THE RAUCH COMPARISON THEOREMS AND OTHER JACOBI FIELD ESTIMATES . 229 5.6 GEOMETRIC APPLICATIONS OF JACOBI FIELD ESTIMATES 234 5.7 APPROXIMATE FUNDAMENTAL SOLUTIONS AND REPRESENTATION FORMULAS . . 239 5.8 THE GEOMETRY OF MANIFOLDS OF NONPOSITIVE SECTIONAL CURVATURE . . .. 241 EXERCISES FOR CHAPTER 5 258 A SHORT SURVEY ON CURVATURE AND TOPOLOGY 261 6 SYMMETRIC SPACES AND KAHLER MANIFOLDS 269 6.1 COMPLEX PROJECTIVE SPACE 269 6.2 KAHLER MANIFOLDS 275 6.3 THE GEOMETRY OF SYMMETRIC SPACES 285 6.4 SOME RESULTS ABOUT THE STRUCTURE OF SYMMETRIC SPACES 296 6.5 THE SPACE SL(N,R)/SO(N,R) 303 6.6 SYMMETRIC SPACES OF NONCOMPACT TYPE 320 EXERCISES FOR CHAPTER 6 325 7 MORSE THEORY AND FLOER HOMOLOGY 327 7.1 PRELIMINARIES: AIMS OF MORSE THEORY 327 7.2 THE PALAIS-SMALE CONDITION, EXISTENCE OF SADDLE POINTS 332 7.3 LOCAL ANALYSIS 334 7.4 LIMITS OF TRAJECTORIES OF THE GRADIENT FLOW 350 7.5 FLOER CONDITION, TRANSVERSALITY AND Z2-COHOMOLOGY 358 7.6 ORIENTATIONS AND Z-HOMOLOGY 364 7.7 HOMOTOPIES 368 7.8 GRAPH FLOWS 372 7.9 ORIENTATIONS 376 7.10 THE MORSE INEQUALITIES 392 7.11 THE PALAIS-SMALE CONDITION AND THE EXISTENCE OF CLOSED GEODESIES . . 403 EXERCISES FOR CHAPTER 7 416 8 HARMONIC MAPS BETWEEN RIEMANNIAN MANIFOLDS 419 8.1 DEFINITIONS 419 8.2 FORMULAS FOR HARMONIC MAPS. THE BOCHNER TECHNIQUE 426 8.3 THE ENERGY INTEGRAL AND WEAKLY HARMONIC MAPS 438 8.4 HIGHER REGULARITY 448 IMAGE 3 CONTENTS XIII 8.5 EXISTENCE OF HARMONIE MAPS FOR NONPOSITIVE CURVATURE 459 8.6 REGULARITY OF HARMONIC MAPS FOR NONPOSITIVE CURVATURE 466 8.7 HARMONIC MAP UNIQUENESS AND APPLICATIONS 485 EXERCISES FOR CHAPTER 8 492 9 HARMONIC MAPS FROM RIEMANN SURFACES 495 9.1 TWO-DIMENSIONAL HARMONIC MAPPINGS 495 9.2 THE EXISTENCE OF HARMONIC MAPS IN TWO DIMENSIONS 509 9.3 REGULARITY RESULTS 530 EXERCISES FOR CHAPTER 9 544 10 VARIATIONAL PROBLEMS FROM QUANTUM FIELD THEORY 547 10.1 THE GINZBURG-LANDAU FUNCTIONAL 547 10.2 THE SEIBERG-WITTEN FUNCTIONAL 555 10.3 DIRAC-HARMONIC MAPS 562 EXERCISES FOR CHAPTER 10 569 A LINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS 571 A.I SOBOLEV SPACES 571 A.2 LINEAR ELLIPTIC EQUATIONS 576 A.3 LINEAR PARABOLIC EQUATIONS 580 B FUNDAMENTAL GROUPS AND COVERING SPACES 583 BIBLIOGRAPHY 587 INDEX 605
any_adam_object	1
author	Jost, Jürgen 1956-
author_GND	(DE-588)115774564
author_facet	Jost, Jürgen 1956-
author_role	aut
author_sort	Jost, Jürgen 1956-
author_variant	j j jj
building	Verbundindex
bvnumber	BV039527115
callnumber-first	Q - Science
callnumber-label	QA649
callnumber-raw	QA649
callnumber-search	QA649
callnumber-sort	QA 3649
callnumber-subject	QA - Mathematics
classification_rvk	SK 370
classification_tum	MAT 537f
ctrlnum	(OCoLC)748699646 (DE-599)BVBBV039527115
dewey-full	516.3/73
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	516 - Geometry
dewey-raw	516.3/73
dewey-search	516.3/73
dewey-sort	3516.3 273
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	6. ed.
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01847nam a2200505 c 4500</leader><controlfield tag="001">BV039527115</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20110916 </controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">110812s2011 gw d\|\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642212970</subfield><subfield code="9">978-3-642-21297-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)748699646</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV039527115</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">XA-DE-BE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-29T</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA649</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.3/73</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 370</subfield><subfield code="0">(DE-625)143234:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">58B20</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 537f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">53C20</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">53B21</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Jost, Jürgen</subfield><subfield code="d">1956-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)115774564</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Riemannian geometry and geometric analysis</subfield><subfield code="c">Jürgen Jost</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">6. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2011</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIII, 611 S.</subfield><subfield code="b">graph. Darst.</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="0" ind2=" "><subfield code="a">Universitext</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometry, Riemannian</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Riemannsche Geometrie</subfield><subfield code="0">(DE-588)4128462-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Geometrische Analysis</subfield><subfield code="0">(DE-588)4156708-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Riemannsche Geometrie</subfield><subfield code="0">(DE-588)4128462-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Geometrische Analysis</subfield><subfield code="0">(DE-588)4156708-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Geometrische Analysis</subfield><subfield code="0">(DE-588)4156708-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB 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=024379472&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-024379472</subfield></datafield></record></collection>
id	DE-604.BV039527115
illustrated	Illustrated
indexdate	2024-12-20T15:56:36Z
institution	BVB
isbn	9783642212970
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-024379472
oclc_num	748699646
open_access_boolean
owner	DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-11 DE-83 DE-20 DE-188 DE-29T
owner_facet	DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-11 DE-83 DE-20 DE-188 DE-29T
physical	XIII, 611 S. graph. Darst.
publishDate	2011
publishDateSearch	2011
publishDateSort	2011
publisher	Springer
record_format	marc
series2	Universitext
spellingShingle	Jost, Jürgen 1956- Riemannian geometry and geometric analysis Geometry, Riemannian Riemannsche Geometrie (DE-588)4128462-8 gnd Geometrische Analysis (DE-588)4156708-0 gnd
subject_GND	(DE-588)4128462-8 (DE-588)4156708-0
title	Riemannian geometry and geometric analysis
title_auth	Riemannian geometry and geometric analysis
title_exact_search	Riemannian geometry and geometric analysis
title_full	Riemannian geometry and geometric analysis Jürgen Jost
title_fullStr	Riemannian geometry and geometric analysis Jürgen Jost
title_full_unstemmed	Riemannian geometry and geometric analysis Jürgen Jost
title_short	Riemannian geometry and geometric analysis
title_sort	riemannian geometry and geometric analysis
topic	Geometry, Riemannian Riemannsche Geometrie (DE-588)4128462-8 gnd Geometrische Analysis (DE-588)4156708-0 gnd
topic_facet	Geometry, Riemannian Riemannsche Geometrie Geometrische Analysis
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024379472&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT jostjurgen riemanniangeometryandgeometricanalysis

Verfügbarkeit

Bestellen (Login erforderlich)

Inhaltsverzeichnis
Paper/Kapitel scannen lassen

Teilbibliothek Physik

Bestandsangaben von Teilbibliothek Physik
Signatur:	0202 MAT 537f 2002 A 670(6) Lageplan
Exemplar 1	Ausleihbar Am Standort