Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2003; 40(3): 411-423

Printed September 1, 2003

Copyright © The Korean Mathematical Society.

B.-Y. Chen inequalities for submanifolds in generalized complex space forms

Jeong-Sik Kim, Yeong-Moo Song, and Mukut Mani Tripathi

Sunchon National University, Sunchon National University, Sunchon National University

Abstract

Some B.-Y. Chen inequalities for different kind of submanifolds of generalized complex space forms are established.

Keywords: Chen's $\delta $-invariant, squared mean curvature, generalized complex space form, {\em RK}-manifold, complex space form, real space form, slant submanifold, totally real submanifold and invariant submanifold

MSC numbers: 53C40, 53C15, 53C42