Hypersurfaces of constant curvature in hyperbolic space II
Hypersurfaces of constant curvature in hyperbolic space II
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DOI：
10.4171/jems/215
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发表时间：
2008-10
影响因子：
2.6
通讯作者：
J. Spruck;Bo Guan
中科院分区：
文献类型：
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作者：
J. Spruck;Bo Guan
在双曲空间中，对于一类包含高阶平均曲率及其曲率导数的（椭圆）曲率函数，我们找到了在无穷远处具有预定渐近边界的常曲率完备超曲面.
We find complete hypersurfaces of constant curvature in hyperbolic space with a prescribed asymptotic boundary at infinity for a general class of (elliptic) curvature functions which includes the higher order mean curvatures and their curvature quotients.