Totally geodesic shadow boundary submanifolds and a characterization for {\mathbb{S}}^n期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Totally geodesic shadow boundary submanifolds and a characterization for {\mathbb{S}}^n

Authors:	Gabriel Ruiz-Hernández

Institution:	(1) CIMAT, Jalisco s.n., Mineral de Valenciana Guanajuato, 36240, México

Abstract:	We prove that the sphere ${\mathbb{S}}^n$ is the only compact immersed hypersurface in Euclidean space ${\mathbb{R}}^{n+1}$ each of whose shadow boundaries is a totally geodesic submanifold. Furthermore, we give conditions for the shadow boundary of a submanifold of ${\mathbb{R}}^{n+1}$ to be regular. Received: 25 January 2007

Keywords:	53A07
本文献已被 SpringerLink 等数据库收录！