A remark on the rigidity of the first conformal Steklov eigenvalue
Differential Geometry
2020-06-09 v1 Analysis of PDEs
Spectral Theory
Abstract
We show rigidity of the first conformal Steklov eigenvalue on annuli and M\"obius bands. The proof relies, among others, on uniqueness results due to Fraser--Schoen, a compactness theorem of the second named author, and recent work of the authors on asymptotic control of Steklov eigenvalues in glueing constructions.
Cite
@article{arxiv.2006.04364,
title = {A remark on the rigidity of the first conformal Steklov eigenvalue},
author = {Henrik Matthiesen and Romain Petrides},
journal= {arXiv preprint arXiv:2006.04364},
year = {2020}
}
Comments
6 pages