Index Estimates for Free Boundary Constant Mean Curvature Surfaces

Published 15 Mar 2018 in math.DG | (1803.05995v1)

Abstract: In this paper, we consider compact free boundary constant mean curvature surfaces immersed in a mean convex body of the Euclidean space or in the unit sphere. We prove that the Morse index is bounded from below by a linear function of the genus and number of boundary components.

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