A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary
We study notions of isotopy and concordance for Riemannian metrics on manifolds with boundary and, in particular, we introduce two variants of the concept of minimal concordance, the weaker one naturally arising when considering certain spaces of metrics defined by a suitable spectral ''st...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2024 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2024
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212109 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary. Alessandro Carlotto and Chao Li. SIGMA 20 (2024), 014, 13 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862703099129364480 |
|---|---|
| author | Carlotto, Alessandro Li, Chao |
| author_facet | Carlotto, Alessandro Li, Chao |
| citation_txt | A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary. Alessandro Carlotto and Chao Li. SIGMA 20 (2024), 014, 13 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We study notions of isotopy and concordance for Riemannian metrics on manifolds with boundary and, in particular, we introduce two variants of the concept of minimal concordance, the weaker one naturally arising when considering certain spaces of metrics defined by a suitable spectral ''stability'' condition. We develop some basic tools and obtain a rather complete picture in the case of surfaces.
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| first_indexed | 2026-03-18T17:01:47Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212109 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-18T17:01:47Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Carlotto, Alessandro Li, Chao 2026-01-28T13:56:25Z 2024 A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary. Alessandro Carlotto and Chao Li. SIGMA 20 (2024), 014, 13 pages 1815-0659 2020 Mathematics Subject Classification: 53C21; 53A10 arXiv:2306.17760 https://nasplib.isofts.kiev.ua/handle/123456789/212109 https://doi.org/10.3842/SIGMA.2024.014 We study notions of isotopy and concordance for Riemannian metrics on manifolds with boundary and, in particular, we introduce two variants of the concept of minimal concordance, the weaker one naturally arising when considering certain spaces of metrics defined by a suitable spectral ''stability'' condition. We develop some basic tools and obtain a rather complete picture in the case of surfaces. The authors wish to express their sincere gratitude to the editors of this special issue for the possibility of contributing with the present article, and to the anonymous referees for their valuable suggestions. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 947923). C.L. was supported by an NSF grant (DMS-2202343). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary Article published earlier |
| spellingShingle | A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary Carlotto, Alessandro Li, Chao |
| title | A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary |
| title_full | A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary |
| title_fullStr | A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary |
| title_full_unstemmed | A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary |
| title_short | A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary |
| title_sort | note about isotopy and concordance of positive scalar curvature metrics on compact manifolds with boundary |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212109 |
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