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arXiv · 1712.07675

Mean Curvature of Hypersurfaces in Killing Submersions with Bounded Shadow

Vicent Gimeno
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Abstract

Given a complete hypersurface isometrically immersed in an ambient manifold, in this paper we provide a lower bound for the norm of the mean curvature vector field of the immersion assuming that: 1) The ambient manifold admits a Killing submersion with unit-length Killing vector field. 2)The projection of the image of the immersion is bounded in the base manifold. 3)The hypersurface is stochastically complete, or the immersion is proper.

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Vicent Gimeno. 2017-12-20. Mean Curvature of Hypersurfaces in Killing Submersions with Bounded Shadow. https://arxiv.org/abs/1712.07675

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