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The Christoffel-Minkowski Problem II: Weingarten Curvature Equations*

✍ Scribed by Pengfei Guan; Changshou Lin; Xi'nan Ma

Publisher
Coastal and Estuarine Research Federation
Year
2006
Tongue
English
Weight
238 KB
Volume
27
Category
Article
ISSN
1860-6261

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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