Mean curvature flow and Riemannian submersions

Giuseppe Pipoli

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arXiv · 1503.08332

Mean curvature flow and Riemannian submersions

Giuseppe Pipoli

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Abstract

We give a sufficient condition ensuring that the mean curvature flow commutes with a Riemannian submersion and we use this result to create new examples of evolution by mean curvature flow. In particular we consider evolution of pinched submanifolds of the sphere, of the complex projective space, of the Heisenberg group and the tangent sphere bundle equipped with the Sasaki metric.

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Giuseppe Pipoli. 2015-03-28. Mean curvature flow and Riemannian submersions. https://arxiv.org/abs/1503.08332

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