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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.11 No.3

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Generalized CR-submanifolds of a $T$-manifold

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2004, v.11 no.3, pp.175-187
De, U.C.
Matsuyama, Y.
Sengupta, Anup-Kumar
De,, U. , Matsuyama,, Y. , & Sengupta,, A. (2004). Generalized CR-submanifolds of a $T$-manifold. , 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

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

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