Open manifold with nonnegative Ricci curvature and collapsing volume

Abstract

In this paper, an n-dimensional complete open manifold with nonnegative Ricci curvature and collapsing volume has been investigated. If its radial sectional curvature bounded from below, it shows that such a manifold is of finite topological type under some restrictions shown below.

arXiv comment8 pages. Accepted for publication in the Kyushu Journal of Mathematics. I have made slight changes to the previous versions so that people could see the mathematical expressions in this paper clealy

Cited by in corpus (1)

• A class of rotationally symmetric quantum layers of dimension 4