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Mean Curvature of Hypersurfaces in Killing Submersions with Bounded Shadow

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 نشر من قبل Vicent Gimeno
 تاريخ النشر 2017
  مجال البحث
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 تأليف Vicent Gimeno




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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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