IJPAM: Volume 79, No. 3 (2012)
-CONTACT METRIC MANIFOLDS WITH
VANISHING -BOCHNER CURVATURE TENSOR
Department of Mathematics
Faculity of Science
King AbdulAziz University
P.O. Box 126300, Jeddah, 21352, KINGDOM OF SAUDI ARABIA
Abstract. CR-submanifold of a Kaehler manifold have been defined by Bejaneu  and studied by many authors. On the other hand CR-submanifold of a Sasakian manifold have been studied by Matsumoto  and others. Moreover, CR-submanifolds of Sasakian manifold with vanishing contact Bochner curvature tensor was studied by Shahid . In , the author studied -contact metric manifold for which the characteristic vector field belongs to the nullity distribution. The class of -contact metric manifold contains the class of Sasakian manifold which we obtain for The aim of this note is to study CR-submanifolds of -contact metric manifold with vanishing generalized contact (GC-) Bochner curvature tensor.
Received: May 15, 2012
AMS Subject Classification: 53C20, 53C45
Key Words and Phrases: CR-submanifold, -contact metric manifolds, -Bochner curvature tensor
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395