On semi-invariant $\xi^{\perp}$-submanifolds of Lorentzian para-Sasakian manifolds

Authors

  • Mobin Ahmad Integral University

Keywords:

Semi-invariant submanifolds, Lorentzian para-Sasakian manifold, Totally umbilical semi-invariant submanifolds, Totally geodesic leaves, Distributions.

Abstract

In the present paper, we study semi-invariant $\xi^{\perp}$-submanifolds of Lorentzian para-Sasakian manifolds. We find the the integrability conditions of distributions on semi-invariant $\xi^{\perp}$-submanifolds of Lorentzian para-Sasakian manifolds. We also obtain some characterizations for the totally umbilical semi-invariant $\xi^{\perp}$-submanifolds of Lorentzian para-Sasakian manifolds.

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Published

2019-03-22

How to Cite

Ahmad, M. (2019). On semi-invariant $\xi^{\perp}$-submanifolds of Lorentzian para-Sasakian manifolds. International Journal of Maps in Mathematics, 2(1), 89–98. Retrieved from https://simadp.com/journalmim/article/view/31

Issue

Vol. 2 No. 1 (2019): International Journal of Maps in Mathematics

Section

Articles

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