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arXiv · 1609.01651

Index Characterization for Free Boundary Minimal Surfaces

Hung Tran
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Abstract

In this paper, we compute the Morse index for a free boundary minimal submanifold from data of two simpler problems. The first one is the corresponding problem with fixed boundary condition; and the second is associated with the Dirichlet-to-Neumann map for Jacobi fields. As an application, we show that the Morse index of a free boundary minimal annulus is equal to 4 if and only if it is the critical catenoid.

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Hung Tran. 2016-09-06. Index Characterization for Free Boundary Minimal Surfaces. https://doi.org/10.4310/cag.2020.v28.n1.a6

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