A remark on capillary surfaces in a 3-dimensional space of constant curvature

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We generalize a theorem by J. Choe on capillary surfaces for arbitrary 3-dimensional spaces of constant curvature. The main tools in this paper are an extension of a theorem of H. Hopf due to S.-S. Chern and two index lemmas by J. Choe.

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/67984

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307069
 http://arxiv.org/abs/math/0307069

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arXiv