OPEN MANIFOLD WITH NONNEGATIVE RICCI CURVATURE AND COLLAPSING VOLUME

Jing MAO
2012 Kyushu Journal of Mathematics  
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.
doi:10.2206/kyushujm.66.509 fatcat:6ryc5ndr6be2jd7n4lryp2oupi