Index characterization for free boundary minimal Surfaces

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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 the 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.
Original languageEnglish
Pages (from-to)24 pages
JournalCommunications in Analysis and Geometry
StatePublished - Jan 2020


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