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
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
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页码:685 / 702
页数:18
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