On semi-invariant $\xi^{\perp}$-submanifolds of Lorentzian para-Sasakian manifolds
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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2019-03-22
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Ahmad, M. (2019). On semi-invariant $\xi^{\perp}$-submanifolds of Lorentzian para-Sasakian manifolds. International Journal of Maps in Mathematics, 2(1), 89-98. https://simadp.com/journalmim/article/view/31
