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Index estimates for
free boundary constant mean curvature surfaces
Marcos P. Cavalcante and Darlan F. de Oliveira |
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Vol. 305 (2020), No. 1, 153–163
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Abstract |
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We consider compact constant mean curvature surfaces with boundary immersed in a mean convex region of the Euclidean space or in the unit sphere. We prove that the weak Morse index is bounded from below by a linear function of the genus and number of boundary components. |
Keywords
constant mean curvature surfaces, Morse index, free
boundary surfaces
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Mathematical Subject Classification 2010
Primary: 35P15, 49Q10, 53A10
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Milestones
Received: 25 March 2018
Revised: 25 March 2019
Accepted: 29 October 2019
Published: 17 March 2020
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Authors |
| Marcos P. Cavalcante | |
| Universidade Federal de
Alagoas Maceió, AL Brazil |
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| Darlan F. de Oliveira | |
| Universidade Estadual de Feira de
Santana Feira de Santanta, BA Brazil |
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