English

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

Differential Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0307069,
  title  = {A remark on capillary surfaces in a 3-dimensional space of constant curvature},
  author = {Alexander Arbieto and Carlos Matheus and Marcos Petrucio},
  journal= {arXiv preprint arXiv:math/0307069},
  year   = {2007}
}