A remark on the rigidity of the first conformal Steklov eigenvalue

Henrik Matthiesen; Romain Petrides

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arXiv · 2006.04364

A remark on the rigidity of the first conformal Steklov eigenvalue

Henrik Matthiesen·Romain Petrides

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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.

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Henrik Matthiesen, Romain Petrides. 2020-06-08. A remark on the rigidity of the first conformal Steklov eigenvalue. https://arxiv.org/abs/2006.04364

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