Journal of the Ramanujan Mathematical Society

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On Curvature Pinching for Totally Real Submanifolds of Cpn (c)


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1 Department of Mathematics, Chuo University, 1-13-27, Kasuga Bunkyo-KU, Tokyo 112, Japan
     

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Let Cpn (c) be an n-dimensional complex projective space with the Fubini-Study metric of constant holomorphic sectional curvature c (>0) and let M be an n-dimensional compact totally real minimal submanifold isometrically immersed in Cpn (c).
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  • On Curvature Pinching for Totally Real Submanifolds of Cpn (c)

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Authors

Yoshio Matsuyama
Department of Mathematics, Chuo University, 1-13-27, Kasuga Bunkyo-KU, Tokyo 112, Japan

Abstract


Let Cpn (c) be an n-dimensional complex projective space with the Fubini-Study metric of constant holomorphic sectional curvature c (>0) and let M be an n-dimensional compact totally real minimal submanifold isometrically immersed in Cpn (c).