## Strict Convexity of Hypersurfaces in Spheres, II

J. Math. Sci. Univ. Tokyo
Vol. 6 (1999), No. 1, Page 1--11.

Ando, Naoya
Strict Convexity of Hypersurfaces in Spheres, II

Abstract:
This paper introduces and investigates the notion of $r$-strict convexity for hypersurfaces in the unit sphere. Particularly the $r$-strict convexity of hypersurfaces with the definite second fundamental form is studied.

Mathematics Subject Classification (1991): Primary 53C40; Secondary 53C45, 53C99
Mathematical Reviews Number: MR1683258