Needle decompositions in Riemannian geometry
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| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
September 2017
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
1180 |
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| Online-Zugang: | Needle decompositions in Riemannian geometry Inhaltsverzeichnis |
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Datensatz im Suchindex
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| _version_ | 1822696917109309440 |
| adam_text | Titel: Needle decompositions in Riemannian geometry
Autor: Klartag, Bo az
Jahr: 2017
Contents
Chapter 1. Introduction 1
Ciiapter 2. Regularity of geodesic foliations 7
2.1. Transport rays 7
2.2. Whitney s extension theorem for C1,1 12
2.3. Rieniann normal coordinates 16
2.4. Proof of the regularity theorem 20
Chapter 3. Conditioning a measure with respect
to a geodesic foliation 27
3.1. Geodesies emanating from a C1,1-hypersurface 27
3.2. Decomposition into ray clusters 37
3.3. Needles and Ricci curvature 43
Chapter 4. The Monge-Kantorovich problem 53
Chapter 5. Some applications 61
5.1. The inequalities of Buser, Ledoux and E. Milman 61
5.2. A Poincare inequality for geodesically-convex domains 63
5.3. The isoperimetric inequality and its relatives 64
Chapter 6. Further research 67
Appendix: The Feldman-McCann proof of Lemma 2.4.1 71
Bibliography 75
|
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| author | Klartag, Bo'az 1978- |
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| format | Book |
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| id | DE-604.BV044552836 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-24T06:11:00Z |
| institution | BVB |
| isbn | 9781470425425 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029951653 |
| oclc_num | 1010501492 |
| 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, 77, 4 ungezählte Seiten |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spellingShingle | Klartag, Bo'az 1978- Needle decompositions in Riemannian geometry Memoirs of the American Mathematical Society Riemannsche Geometrie (DE-588)4128462-8 gnd Monge-Kantorovič-Transportproblem (DE-588)4618506-9 gnd Ricci-Krümmung (DE-588)4203411-5 gnd |
| subject_GND | (DE-588)4128462-8 (DE-588)4618506-9 (DE-588)4203411-5 |
| title | Needle decompositions in Riemannian geometry |
| title_auth | Needle decompositions in Riemannian geometry |
| title_exact_search | Needle decompositions in Riemannian geometry |
| title_full | Needle decompositions in Riemannian geometry Bo'az Klartag |
| title_fullStr | Needle decompositions in Riemannian geometry Bo'az Klartag |
| title_full_unstemmed | Needle decompositions in Riemannian geometry Bo'az Klartag |
| title_short | Needle decompositions in Riemannian geometry |
| title_sort | needle decompositions in riemannian geometry |
| topic | Riemannsche Geometrie (DE-588)4128462-8 gnd Monge-Kantorovič-Transportproblem (DE-588)4618506-9 gnd Ricci-Krümmung (DE-588)4203411-5 gnd |
| topic_facet | Riemannsche Geometrie Monge-Kantorovič-Transportproblem Ricci-Krümmung |
| url | http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=7419915&custom_att_2=simple_viewer http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029951653&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT klartagboaz needledecompositionsinriemanniangeometry |