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The inverse mean curvature flow in rotationally symmetric spaces

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Abstract

In this paper, the motion of inverse mean curvature flow which starts from a closed star-sharped hypersurface in special rotationally symmetric spaces is studied. It is proved that the flow converges to a unique geodesic sphere, i.e., every principle curvature of the hypersurfaces converges to a same constant under the flow.

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Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Qi Ding

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  1. Qi Ding
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Correspondence to Qi Ding.

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Ding, Q. The inverse mean curvature flow in rotationally symmetric spaces. Chin. Ann. Math. Ser. B 32, 27–44 (2011). https://doi.org/10.1007/s11401-010-0626-z

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  • DOI: https://doi.org/10.1007/s11401-010-0626-z

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