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Bull. Korean Math. Soc. 2012; 49(1): 25-32

Printed January 1, 2012

https://doi.org/10.4134/BKMS.2012.49.1.25

Copyright © The Korean Mathematical Society.

CR-submanifolds of a Lorentzian para-Sasakian manifold endowed with a quarter symmetric metric connection

Mobin Ahmad

Integral University

Abstract

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We define a quarter symmetric metric connection in a Lorentzian para-Sasakian manifold and study CR-submanifolds of a Lorentzian para-Sasakian manifold endowed with a quarter symmetric metric connection. Moreover, we also obtain integrability conditions of the distributions on CR-submanifolds.

Keywords: CR-submanifolds, Lorentzian para-Sasakian manifold, quarter symmetric metric connection, integrability conditions of the distributions

MSC numbers: 53D12, 53C05

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