A remark on the rigidity of the first conformal Steklov eigenvalue

Published 8 Jun 2020 in math.DG, math.AP, and math.SP | (2006.04364v1)

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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