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

arXiv:math/0307069

Abstract

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.