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- W894175087 abstract "【Let $M^n$ be a connected subminifold of a Euclidean space $E^m$ , equipped with the induced metric. Denoty by $Delta$ the Laplacian operator of $M^n$ and by x the position vector. A well-known T. Takahashi's theorem [13] says that $delta x = lambda x$ for some constant $lambda$ if and only if $M^n$ is either minimal subminifold of $E^m$ or minimal submanifold in a hypersphere of $E^m$ . In [9], O. Garay studied the hypersurfaces $M^n$ in $E^{n+1}$ satisfying $delta x = Dx$ , where D is a diagonal matrix, and he classified such hypersurfaces. Garay's condition can be seen as a generalization of T.】" @default.
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- W894175087 date "1997-01-01" @default.
- W894175087 modified "2023-09-27" @default.
- W894175087 title "A CLASS OF COMPACT SUBMANIFOLDS WITH CONSTANT MEAN CURVATURE" @default.
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