Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2001; 16(2): 265-275

Printed June 1, 2001

Copyright © The Korean Mathematical Society.

Some Curvature Conditions of $n$-Dimensional $CR$-Submanifolds of $(n-1)$ $CR$-Dimension in a Complex Projective Space II

Won-Ho Sohn

Pusan University of Foreign Studies

Abstract

In the previous paper we studied $n$-dimensional $CR$-submanifolds of $(n-1)$ $CR$-dimension immersed in a complex projective space $CP^{(n+p)/2}$, and especially determined such submanifolds under curvature conditions related to vertical direction. In the present article we determine such submanifolds under curvature conditions related to horizontal direction.

Keywords: $CR$-submanifold, $CR$-dimension, locally symmetric, complex projective space

MSC numbers: 53C40, 53C55