HYPERSURFACES WITH CONSTANT MEAN-CURVATURE IN THE COMPLEX HYPERBOLIC SPACE

被引：3

作者：

FORNARI, S

FRENSEL, K

RIPOLL, J

机构：

[1] UNIV FED RIO GRANDE SUL,INST MATEMAT,BR-91500 PORTO ALEGRE,RS,BRAZIL

[2] UNIV FED RIO DE JANEIRO,DEPT MATEMAT,RIO JANEIRO,BRAZIL

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 339卷 / 02期

关键词：

D O I：

10.2307/2154293

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：685 / 702

页数：18

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