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arXiv · 1501.01813

Soft restrictions on positively curved Riemannian submersions

David González·Luis Guijarro
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Abstract

We bound the dimension of the fiber of a Riemannian submersion from a positively curved manifold in terms of the dimension of the base of the submersion and either its conjugate radius or the length of its shortest closed geodesic.

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David González, Luis Guijarro. 2015-02-09. Soft restrictions on positively curved Riemannian submersions. https://arxiv.org/abs/1501.01813

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