Symmetric hypersurfaces in Riemannian manifolds contracting to Lie-groups by their mean curvature
Symmetric hypersurfaces in Riemannian manifolds contracting to Lie-groups by their mean curvature
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黎曼流形中的对称超曲面通过其平均曲率收缩为李群
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
Knut Smoczyk
中科院分区：
文献类型：
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作者：
Knut Smoczyk
本文研究了黎曼空间中在等距群子群下不变的超曲面M的平均曲率变形。我们证明了超曲面收缩到这个子群，如果横截面满足一个强凸性假设。
This paper concerns the deformation by mean curvature of hypersurfaces M in Riemannian spaces Ñ that are invariant under a subgroup of the isometry-group on Ñ. We show that the hypersurfaces contract to this subgroup, if the cross-section satisfies a strong convexity assumption.