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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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Carlotto et al. (Tue,) studied this question.
www.synapsesocial.com/papers/68e796c3b6db643587707270 — DOI: https://doi.org/10.3842/sigma.2024.014
Alessandro Carlotto
Chao Li
Symmetry Integrability and Geometry Methods and Applications
New York University
University of Trento
Courant Institute of Mathematical Sciences
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