【摘 要】
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In this talk,I start by introducing the concept of mean curvature for hypersurfaces in Minkowski space and also the anisotropic mean curvature.Then we discu
【机 构】
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XiamenUniversity,P.R.China
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In this talk,I start by introducing the concept of mean curvature for hypersurfaces in Minkowski space and also the anisotropic mean curvature.Then we discuss the inverse mean curvature flow in Minkowski space and show that initiated from a star-shaped,mean convex hypersurface,such flow exists for long time and converges to a rescaled ball in Minkowski space(also called Wulff shape).This generalizes Gerhardt and Urbass result in Euclidean space.We will also present the relation between the mean curvature in Minkowski space and the mixed volumes in the theory of convex bodies.Finally we give a proof of a special Minkowskis inequality for mixed volumes by using our convergence result for the flow.
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