一类线性Weingarten子流形的分类问题

Classification Problem of a Kind of Linear Weingarten Submanifolds

主要研究了de Sitter空间中的线性Weingarten子流形,根据截面曲率对其进行分类.结果表明,这类子流形是全脐子流形或者是全脐子流形的乘积流形.

The linear Weingarten submanifolds in de Sitter space are studied and the classification is given according to the sectional curvature. The results show that this kind of submanifolds is totally umbilical submanifolds or the product of totally umbilical submanifolds.