A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909104259203072 |
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| author | Carlotto, Alessandro Li, Chao |
| author_facet | Carlotto, Alessandro Li, Chao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_17760 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary Carlotto, Alessandro Li, Chao Differential Geometry 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. |
| title | A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2306.17760 |