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.
A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary / Carlotto, Alessandro; Li, Chao. - In: SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS. - ISSN 1815-0659. - 2024, 20 (special volume in honor of Jean-Pierre Bourguignon for his 75th birthday):(2024), pp. 01401-01413. [10.3842/SIGMA.2024.014]
A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary
Carlotto, Alessandro;
2024-01-01
Abstract
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.| File | Dimensione | Formato | |
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