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arXiv · 1206.1774

An obstructions to Non-negative curvature on Bundles with Pull-back connections

Llohann Sperança
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Abstract

Motivated to study the geometry of the exotic spheres constructed in [5], we derive a necessary condition for non-negative sectional curvature in certain total spaces of Riemannian submersions with totally geodesic fibers. In particular, we prove that the bundles in [5] and [1] have sections of negative curvature.

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Llohann Sperança. 2012-06-08. An obstructions to Non-negative curvature on Bundles with Pull-back connections. https://arxiv.org/abs/1206.1774

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