EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 94(108), pp. 131–140 (2013)

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TWISTED PRODUCT $CR$-SUBMANIFOLDS IN A LOCALLY CONFORMAL KAEHLER MANIFOLD

Koji Matsumoto, Zerrin Sentürk

2-3-65 Nishi-Odori, Yonezawa, Yamagata, 992-0059, Japan; Mathematics Engineering Department, Faculty of Science and Letters, Istanbul Technical University, Istanbul, Turkey

Abstract: Recently, we have researched certain twisted product $CR$-submanifolds in a Kaehler manifold and some inequalities of the second fundamental form of these submanifolds [11]. We consider here two kinds of twisted product $CR$-submanifolds (the first and the second kind) in a locally conformal Kaehler manifold. In these submanifolds, we give inequalities of the second fundamental form (see Theorems 5.1 and 5.2) and consider the equality case of these.

Keywords: twisted product manifold, $CR$-submanifold, twisted product $CR$-submanifold, locally conformal Kaehler manifold

Classification (MSC2000): 53C40

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Electronic fulltext finalized on: 8 Nov 2013. This page was last modified: 22 Nov 2013.

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