Journal article
Gap phenomena under curvature restrictions
- Abstract:
- In the paper we discuss gap phenomena of three different types related to Ricci (and sectional) curvature. The first type is about spectral gaps. The second type is about sharp gap metric-rigidity, originally due to Anderson. The third is about sharp gap topological-rigidity. We also propose open problems along these directions.
- Publication status:
- In press
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Proof, pdf, 604.6KB, Terms of use)
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- Publisher copy:
- 10.1016/j.indag.2025.03.008
Authors
+ European Research Council
More from this funder
- Funder identifier:
- https://ror.org/0472cxd90
- Grant:
- 802689
- Publisher:
- Elsevier
- Journal:
- Indagationes Mathematicae More from this journal
- Publication date:
- 2025-04-08
- Acceptance date:
- 2025-03-28
- DOI:
- EISSN:
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1872-6100
- ISSN:
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0019-3577
- Language:
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English
- Keywords:
- Pubs id:
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2100764
- Local pid:
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pubs:2100764
- Deposit date:
-
2025-03-28
Terms of use
- Copyright holder:
- Honda and Mondino
- Copyright date:
- 2025
- Rights statement:
- © 2025 The Author(s). Published by Elsevier B.V. on behalf of Royal Dutch Mathematical Society (KWG). This is an open access article under the CC BY license.
- Notes:
- This is the corrected proof version of the article. The final version is forthcoming from Elsevier at https://dx.doi.org/10.1016/j.indag.2025.03.008
- Licence:
- CC Attribution (CC BY)
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