Open manifold with nonnegative Ricci curvature and collapsing volume

Details Open manifold with nonnegative Ricci curvature and collapsing volume Open manifold with nonnegative Ricci curvature and collapsing volume

2011-09-18

arxiv.org/abs/1109.3900v2

Mathematics

Differential Geometry

8 pages. Accepted for publication in the Kyushu Journal of Mathematics

Scientific paper

In this paper, an n-dimensional complete open manifold having 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.

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