Finiteness theorems for nonnegatively curved vector bundles

Details Finiteness theorems for nonnegatively curved vector bundles Finiteness theorems for nonnegatively curved vector bundles

2000-02-03

arxiv.org/abs/math/0002028v1

Mathematics

Differential Geometry

26 pages

Scientific paper

We prove several finiteness theorems for the normal bundles to souls in
nonnegatively curved manifolds. More generally, we obtain finiteness results
for open Riemannian manifolds whose topology is concentrated on compact domains
of ``bounded geometry''.

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