Flat Sections and Non-negative Curvature in Pullback Bundles
classification
🧮 math.DG
keywords
curvatureobstructionapplicationsbundlescertainexamplesfibersflat
read the original 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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