On the differential structure of metric measure spaces and applications:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
2015
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
1113 = Vol. 236,3 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028127585&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | "Volume 236, number 1113 (third of 6 numbers), July 2015." |
| Umfang: | V, 91 S. |
| ISBN: | 9781470414207 |
Internformat
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| 245 | 1 | 0 | |a On the differential structure of metric measure spaces and applications |c Nicola Gigli |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2015 | |
| 300 | |a V, 91 S. | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 1113 = Vol. 236,3 | |
| 500 | |a "Volume 236, number 1113 (third of 6 numbers), July 2015." | ||
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Datensatz im Suchindex
| _version_ | 1819244647476625408 |
|---|---|
| adam_text | Contents
Chapter 1. Introduction 1
1.1. The simple case of normed spaces 2
1.2. The general situation 4
Chapter 2. Preliminaries 9
2.1. Metric spaces and Wasserstein distance 9
2.2. Metric measure spaces 12
2.3. Sobolev classes 12
2.4. The Cheeger energy and its gradient flow 17
Chapter 3. Differentials and gradients 19
3.1. Definition and basic properties 19
3.2. Horizontal and vertical derivatives 23
3.3. Calculus rules 28
Chapter 4. Laplacian 35
4.1. Definition and basic properties 35
4.2. Calculus rules 39
4.3. The linear case 43
Chapter 5. Comparison estimates 59
5.1. Weak Ricci curvature bounds 59
5.2. Variants of calculus rules 61
5.3. Proof of Laplacian comparison 65
Appendix A. On the duality between cotangent and tangent spaces 77
Appendix B. Remarks about the definition of the Sobolev classes 85
89
References
|
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| author | Gigli, Nicola |
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| classification_rvk | SI 130 |
| ctrlnum | (OCoLC)914771749 (DE-599)BSZ43535048X |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV042696001 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:17:37Z |
| institution | BVB |
| isbn | 9781470414207 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028127585 |
| oclc_num | 914771749 |
| open_access_boolean | |
| owner | DE-83 DE-29T DE-355 DE-BY-UBR DE-11 |
| owner_facet | DE-83 DE-29T DE-355 DE-BY-UBR DE-11 |
| physical | V, 91 S. |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spellingShingle | Gigli, Nicola On the differential structure of metric measure spaces and applications Memoirs of the American Mathematical Society Differentialgeometrie (DE-588)4012248-7 gnd Sobolev-Raum (DE-588)4055345-0 gnd |
| subject_GND | (DE-588)4012248-7 (DE-588)4055345-0 |
| title | On the differential structure of metric measure spaces and applications |
| title_auth | On the differential structure of metric measure spaces and applications |
| title_exact_search | On the differential structure of metric measure spaces and applications |
| title_full | On the differential structure of metric measure spaces and applications Nicola Gigli |
| title_fullStr | On the differential structure of metric measure spaces and applications Nicola Gigli |
| title_full_unstemmed | On the differential structure of metric measure spaces and applications Nicola Gigli |
| title_short | On the differential structure of metric measure spaces and applications |
| title_sort | on the differential structure of metric measure spaces and applications |
| topic | Differentialgeometrie (DE-588)4012248-7 gnd Sobolev-Raum (DE-588)4055345-0 gnd |
| topic_facet | Differentialgeometrie Sobolev-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028127585&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT giglinicola onthedifferentialstructureofmetricmeasurespacesandapplications |