Strict Convexity of Hypersurfaces in Spheres

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J. Math. Sci. Univ. Tokyo
Vol. 5 (1998), No. 3, Page 423--433.

Ando, Naoya
Strict Convexity of Hypersurfaces in Spheres
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]

Abstract:
This paper investigates compact, embedded, strictly convex hypersurfaces in the unit sphere and gives several conditions equivalent to the strict convexity of hypersurfaces. Particularly it is seen that the local strict convexity is equivalent to the strict convexity.

Mathematics Subject Classification (1991): Primary 53C40; Secondary 53C45, 53C99

Mathematical Reviews Number: MR1656059

Received: 1997-10-02

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