Contact CR-submanifolds of trans-Sasakian manifolds with respect to quarter symmetric non-metric connection

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Payel Karmakar
Arindam Bhattacharyya

Abstract

The present paper deals with the study of contact CR-submanifolds of trans-Sasakian manifolds with respect to quarter symmetric non-metric connection. We investigate totally geodesic leaves and integrability of the distributions and also study the totally umbilical contact CR-submanifolds of trans-Sasakian manifolds. At last we give an example to verify a relation.

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How to Cite
Karmakar, P., & Arindam Bhattacharyya. (2022). Contact CR-submanifolds of trans-Sasakian manifolds with respect to quarter symmetric non-metric connection. Gulf Journal of Mathematics, 12(2), 73-85. https://doi.org/10.56947/gjom.v12i2.605
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Author Biography

Arindam Bhattacharyya, Jadavpur University

Professor, Department of Mathematics