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Finiteness theorems for nonnegatively curved vector bundles

Igor Belegradek·Vitali Kapovitch
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Abstract

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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Igor Belegradek, Vitali Kapovitch. 2000-02-03. Finiteness theorems for nonnegatively curved vector bundles. https://arxiv.org/abs/math/0002028

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