A logarithmic Gauss curvature flow and t
β
Kai-Seng Chou; Xu-Jia Wang
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Article
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2000
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Elsevier Science
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English
β 125 KB
Let X 0 be a smooth uniformly convex hypersurface and f a postive smooth function in S n . We study the motion of convex hypersurfaces X(β’, t) with initial X(β’, 0) = ΞΈX 0 along its inner normal at a rate equal to log(K/f ) where K is the Gauss curvature of X(β’, t). We show that the hypersurfaces rem