Duke Mathematical Journal

Finiteness theorems for nonnegatively curved vector bundles

Igor Belegradek and Vitali Kapovitch

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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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Duke Math. J. Volume 108, Number 1 (2001), 109-134.

First available in Project Euclid: 5 August 2004

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 53C20: Global Riemannian geometry, including pinching [See also 31C12, 58B20]
Secondary: 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions [See also 58J60]


Belegradek, Igor; Kapovitch, Vitali. Finiteness theorems for nonnegatively curved vector bundles. Duke Math. J. 108 (2001), no. 1, 109--134. doi:10.1215/S0012-7094-01-10813-2. http://projecteuclid.org/euclid.dmj/1091737125.

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