Is it true that the only closed hypersurfaces of a Euclidean m-space with finite type Gauss map are hyperspheres?

13 January 2016 0 7K Report

The Gauss map µ of a hypersurface is said to be of finite type if the Gauss map µ is the spectral decomposition of µ is of finite sum, i.e., µ = µ1+...+µn, ∆µi = ciµi, for some integer n, where ci are real numbers.

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