The Bochner Technique and Weighted Curvatures
In this note, we study the Bochner formula on smooth metric measure spaces. We introduce weighted curvature conditions that imply the vanishing of all Betti numbers.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2020 |
| ISSN: | 1815-0659 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210784 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Bochner Technique and Weighted Curvatures. Peter Petersen and Matthias Wink. SIGMA 16 (2020), 064, 10 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862592147446824960 |
|---|---|
| author | Petersen, Peter Wink, Matthias |
| author_facet | Petersen, Peter Wink, Matthias |
| citation_txt | The Bochner Technique and Weighted Curvatures. Peter Petersen and Matthias Wink. SIGMA 16 (2020), 064, 10 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this note, we study the Bochner formula on smooth metric measure spaces. We introduce weighted curvature conditions that imply the vanishing of all Betti numbers.
|
| first_indexed | 2026-03-13T21:32:07Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210784 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-13T21:32:07Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Petersen, Peter Wink, Matthias 2025-12-17T14:38:35Z 2020 The Bochner Technique and Weighted Curvatures. Peter Petersen and Matthias Wink. SIGMA 16 (2020), 064, 10 pages 1815-0659 2020 Mathematics Subject Classification: 53B20; 53C20; 53C21; 53C23; 58A14 arXiv:2005.02604 https://nasplib.isofts.kiev.ua/handle/123456789/210784 https://doi.org/10.3842/SIGMA.2020.064 In this note, we study the Bochner formula on smooth metric measure spaces. We introduce weighted curvature conditions that imply the vanishing of all Betti numbers. We would like to thank the referees for their useful comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Bochner Technique and Weighted Curvatures Article published earlier |
| spellingShingle | The Bochner Technique and Weighted Curvatures Petersen, Peter Wink, Matthias |
| title | The Bochner Technique and Weighted Curvatures |
| title_full | The Bochner Technique and Weighted Curvatures |
| title_fullStr | The Bochner Technique and Weighted Curvatures |
| title_full_unstemmed | The Bochner Technique and Weighted Curvatures |
| title_short | The Bochner Technique and Weighted Curvatures |
| title_sort | bochner technique and weighted curvatures |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210784 |
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