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Flat Sections and Non-negative Curvature in Pullback Bundles

Published 16 Apr 2013 in math.DG | (1304.4532v1)

Abstract: We give a geometric obstruction to the non-negativity of the sectional curvature in the total spaces of certain Riemannian submersions with totally geodesic fibers; applications of this obstruction to several examples are given.

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