Hypersurfaces with constant mean curvature in the complex hyperbolic space

AUTOR(ES)
DATA DE PUBLICAÇÃO

2011

RESUMO

A classical theorem of A. D. Alexandrov characterized round spheres is extended to the complex hyperbolic space CH2 of constant holomorphic sectional curvature. A detailed description of the horospheres and equidistant hypersurfaces in CH2 determining in particular their stability, is also given.

ASSUNTO(S)

espacos hiperbolicos complexos hipersuperficies

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