Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 1997; 12(3): 665-678

Printed September 1, 1997

Copyright © The Korean Mathematical Society.

Minimal $CR$ submanifolds of a complex projective space with parallel section in the normal bundle

U-Hang Ki, Masahiro Kon

Kyungpook University, Hirosaki University

Abstract

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In this paper we prove that if the minimum of the sectional curvatures of a compact $n$-dimensional minimal generic submanifold $M$ of a complex projective space is $1/n$, then $M$ is the geodesic minimal hypersphere.

Keywords: Minimal submanifold, CR submanifold, sectional curvature, parallel normal section

MSC numbers: 53C40; 53C15

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