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- W97777140 abstract "For an orientable compact and connected hypersurface in the Eu- clidean space R 4 with positive scalar curvature S, the shape operator A and the mean curvature fi, it is shown that the inequality 6fidetA ‚ fi 2 S + 4krfik 2 implies that the hypersurface is a sphere, where rfi is the gradient of fi. A similar characterization is also obtained for spheres the Euclidean space R 3 (cf. Theorem 2)." @default.
- W97777140 created "2016-06-24" @default.
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- W97777140 date "2007-01-01" @default.
- W97777140 modified "2023-09-27" @default.
- W97777140 title "A CHARACTERIZATION OF SPHERES IN A EUCLIDEAN SPACE" @default.
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