[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2002.17.2.279

KÄHLER SUBMANIFOLDS WITH LOWER BOUNDED TOTALLY REAL BISECTIONL CURVATURE TENSOR II

Pyo, Yong-Soo (Division of Mathematical Sciences Pukyong National University)
Shin, Kyoung-Hwa (Division of Mathematical Sciences Pukyong National University)

Publication Information

Communications of the Korean Mathematical Society / v.17, no.2, 2002 , pp. 279-293 More about this Journal

Abstract

In this paper, we prove that if every totally real bisectional curvature of an n( $\geq$ 3)-dimensional complete Kahler submanifold of a complex projective space of constant holomorphic sectional curvature c is greater than (equation omitted) (3n $^2$ +2n-2), then it is totally geodesic and compact.

Keywords

Kahler manifold; sectional curvature; holomorphic sectional curvature; totally real bisectional curvature; totally geodesic;

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Times Cited By KSCI : 1 (Citation Analysis)

Reference
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