Positive Intermediate Ricci Curvature on Fibre Bundles
We prove a canonical variation-type result for submersion metrics with positive intermediate Ricci curvatures. This can then be used in conjunction with surgery techniques to establish the existence of metrics with positive intermediate Ricci curvatures on a wide range of examples which had previous...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2025 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2025
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/212885 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Positive Intermediate Ricci Curvature on Fibre Bundles. Philipp Reiser and David J. Wraith. SIGMA 21 (2025), 006, 17 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862597824986742784 |
|---|---|
| author | Reiser, Philipp Wraith, David J. |
| author_facet | Reiser, Philipp Wraith, David J. |
| citation_txt | Positive Intermediate Ricci Curvature on Fibre Bundles. Philipp Reiser and David J. Wraith. SIGMA 21 (2025), 006, 17 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We prove a canonical variation-type result for submersion metrics with positive intermediate Ricci curvatures. This can then be used in conjunction with surgery techniques to establish the existence of metrics with positive intermediate Ricci curvatures on a wide range of examples which had previously only been known to admit positive Ricci curvature, such as highly connected manifolds and exotic spheres. Further, we extend the results of the second author on the moduli space of metrics with positive Ricci curvature to positive intermediate Ricci curvatures.
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| first_indexed | 2026-03-21T11:56:57Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212885 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T11:56:57Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Reiser, Philipp Wraith, David J. 2026-02-13T13:50:51Z 2025 Positive Intermediate Ricci Curvature on Fibre Bundles. Philipp Reiser and David J. Wraith. SIGMA 21 (2025), 006, 17 pages 1815-0659 2020 Mathematics Subject Classification: 53C20 arXiv:2211.14610 https://nasplib.isofts.kiev.ua/handle/123456789/212885 https://doi.org/10.3842/SIGMA.2025.006 We prove a canonical variation-type result for submersion metrics with positive intermediate Ricci curvatures. This can then be used in conjunction with surgery techniques to establish the existence of metrics with positive intermediate Ricci curvatures on a wide range of examples which had previously only been known to admit positive Ricci curvature, such as highly connected manifolds and exotic spheres. Further, we extend the results of the second author on the moduli space of metrics with positive Ricci curvature to positive intermediate Ricci curvatures. The first-named author acknowledges funding by the SNSF-Project 200020E 193062 and the DFG-Priority programme SPP 2026. Both authors would like to thank Diarmuid Crowley and David González Άlvaro for helpful conversations, and the anonymous referees for their careful reading and insightful comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Positive Intermediate Ricci Curvature on Fibre Bundles Article published earlier |
| spellingShingle | Positive Intermediate Ricci Curvature on Fibre Bundles Reiser, Philipp Wraith, David J. |
| title | Positive Intermediate Ricci Curvature on Fibre Bundles |
| title_full | Positive Intermediate Ricci Curvature on Fibre Bundles |
| title_fullStr | Positive Intermediate Ricci Curvature on Fibre Bundles |
| title_full_unstemmed | Positive Intermediate Ricci Curvature on Fibre Bundles |
| title_short | Positive Intermediate Ricci Curvature on Fibre Bundles |
| title_sort | positive intermediate ricci curvature on fibre bundles |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212885 |
| work_keys_str_mv | AT reiserphilipp positiveintermediatericcicurvatureonfibrebundles AT wraithdavidj positiveintermediatericcicurvatureonfibrebundles |