Submanifolds in de sitter space-time satisfying ΔH=λH
Submanifolds in de sitter space-time satisfying ΔH=λH
复制标题
除西器时空中的子流形满足 ΔH=λH
DOI：
10.1007/bf02761657
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发表时间：
1995
影响因子：
1
通讯作者：
Bang‐Yen Chen
中科院分区：
文献类型：
--
作者：
Bang‐Yen Chen
在[3]中，作者开始了平均曲率向量为拉普拉斯特征向量Δ的子流形的研究，并证明了这些子流形是双调和的、1型的或零2型的。作者于1988年在欧几里得三维空间中对ΔH=λHin曲面进行了分类。并在[4]中对双曲空间中的子流形进行了分类。本文研究了闵可夫斯基时空的类空子流形在德西特时空中的这一问题。因此，我们在德西特时空中对这些子流形进行了表征和分类。
In [3] the author initiated the study of submanifolds whose mean curvature vectorHis an eigenvector of the Laplacian Δ and proved that such submanifolds are either biharmonic or of 1-type or of null 2-type. The classification of surfaces with ΔH=λHin a Euclidean 3-space was done by the author in 1988. Moreover, in [4] the author classified such submanifolds in hyperbolic spaces. In this article we study this problem for space-like submanifolds of the Minkowski space-timeE1mwhen the submanifolds lie in a de Sitter space-time. As a result, we characterize and classify such submanifolds in de Sitter space-times.