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ISSN : 1226-0657

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Vol.11 No.3

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GENERALIZED CR-SUBMANIFOLDS OF A T-MANIFOLD

Generalized CR-submanifolds of a $T$-manifold

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2004, v.11 no.3, pp.175-187
De, U.C. (Department of Mathematics, University Of Kalyani)
Matsuyama, Y. (Department of Mathematics, Faculty Of Science And Engineering, Chuo University)
Sengupta, Anup-Kumar (Department of Mathematics, Bidhannagar College)
De, U.C., Matsuyama, Y., & Sengupta, Anup-Kumar. (2004). GENERALIZED CR-SUBMANIFOLDS OF A T-MANIFOLD. 한국수학교육학회지시리즈B:순수및응용수학, 11(3), 175-187.

Abstract

The purpose of the present paper is to study the generalized CR-sub manifold of a T-manifold. After preliminaries we have studied the integrability of the distributions and obtained the conditions for integrability. Then geometry of leaves are being studied. Finally it is proved that every totally umbilical generalized CR-submanifold of a T-manifold is totally geodesic.

keywords
generalised CR-submanifold, T-manifold

한국수학교육학회지시리즈B:순수및응용수학

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