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

  • 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.

Published
2019-03-22