Mean curvature of hypersurfaces in Killing submersions with bounded shadow
2020
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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