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\(\textit{CR}\)-submanifolds and \(\textit{CR}\)-products of a Lorentzian para-Sasakian manifold endowed with a quarter symmetric semi-metric connection

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Abstract

We study \(\textit{CR}\)-submanifolds and Lorentzian contact \(\textit{CR}\)-products of a Lorentzian para-Sasakian manifold endowed with a quarter symmetric semi-metric connection. Moreover, we also obtain leaves and integrability conditions of the distributions on \(\textit{CR}\)-submanifolds.

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Acknowledgments

The authors would like to express their thanks to the referee for his/her valuable suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Integral University, Kursi Road, Lucknow, 226026, India

    Mobin Ahmad

  2. Department of Mathematics, Zazan University, Zazan, Saudi Arabia

    Abdul Haseeb

  3. Department of Mathematics, College of Natural Science, Kook-Min University, Seoul, 136-702, Korea

    Jae-Bok Jun

  4. Department of Mathematics, Faculty of Natural Sciences, Jamia Millia Islamia, New Delhi, 110 025, India

    M. Hasan Shahid

Authors
  1. Mobin Ahmad
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  2. Abdul Haseeb
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  3. Jae-Bok Jun
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  4. M. Hasan Shahid
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Correspondence to Jae-Bok Jun.

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Ahmad, M., Haseeb, A., Jun, JB. et al. \(\textit{CR}\)-submanifolds and \(\textit{CR}\)-products of a Lorentzian para-Sasakian manifold endowed with a quarter symmetric semi-metric connection. Afr. Mat. 25, 1113–1124 (2014). https://doi.org/10.1007/s13370-013-0180-4

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  • DOI: https://doi.org/10.1007/s13370-013-0180-4

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