Quantitative Stability for Yamabe minimizers on manifolds with boundary
Differential Geometry
2025-03-14 v1
Abstract
This paper addresses the quantitative stability for a Yamabe-type functional on compact manifolds with boundary introduced by Escobar. Minimizers of the functional correspond to scalar-flat metrics with constant mean curvature on the boundary. We prove that the deficit controls the distance to the minimizing set to a suitable power by reducing the problem to the analogous question for an effective functional on the boundary.
Keywords
Cite
@article{arxiv.2503.09801,
title = {Quantitative Stability for Yamabe minimizers on manifolds with boundary},
author = {Benjamín Borquez and Rayssa Caju and Hanne Van Den Bosch},
journal= {arXiv preprint arXiv:2503.09801},
year = {2025}
}
Comments
19 pages