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arXiv · 1803.05995

Index Estimates for Free Boundary Constant Mean Curvature Surfaces

Marcos P. Cavalcante·Darlan F. de Oliveira
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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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BibTeXRIS

Marcos P. Cavalcante, Darlan F. de Oliveira. 2018-03-15. Index Estimates for Free Boundary Constant Mean Curvature Surfaces. https://doi.org/10.2140/pjm.2020.305.153

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