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 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 language | English |
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| Pages (from-to) | 24 pages |
| Journal | Communications in Analysis and Geometry |
| State | Published - Jan 2020 |