On the Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space
Using the weak solution of Inverse mean curvature flow, we prove the sharp Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space.
Mathematics Subject Classification53C44 53C42
The author would like to thank Ben Andrews, Gerhard Huisken, Pei-Ken Hung and Hojoo Lee for their suggestions and discussions, and Haizhong Li, Mu-Tao Wang for their interests and comments. The author would also like to thank the referee for helpful comments. The author was supported by Ben Andrews throughout his Australian Laureate Fellowship FL150100126 of the Australian Research Council.
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