Isometric Immersions of Closed Manifolds of Nonnegative Curvature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

Isometric Immersions of Closed Manifolds of Nonnegative Curvature

Authors:	N D Lebedeva

Institution:	(1) St.Petersburg State University, Russia

Abstract:	Let M be a closed manifold and let $f:M \to \mathbb{R}^N$ be an immersion inducing a C²-smooth (respectively, polyhedral) metric of nonnegative curvature on M. If this nonnegativity property is preserved under all affine transformations of $\mathbb{R}^N$ , then f is an embedding into the boundary of a C²-smooth convex body (respectively, a convex polyhedron) in a certain $\mathbb{R}^{n+1} \subset \mathbb{R}^N$ . Bibliography: 6 titles.

Keywords:
本文献已被 SpringerLink 等数据库收录！