Some properties of a Ricci quarter symmetric metric connection on Lorentzian para-Sasakian manifold
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초록
We study the Lorentzian Para-Sasakian Manifold with respect to Ricci Quarter symmetric metric connection. We find the existence of the Ricci Quarter symmetric metric connection on Lorentzian Para-Sasakian Manifold. We show that there is a relations between the Levi-Civita connection and the Ricci Quarter symmetric metric connection. We deduce the projective cur-vature tensor of Lorentzian para-Sasakian manifold is skew symmetric with respect to Ricci Quarter symmetric metric connection. Finally we obtain con-ditions under which the conformal curvature with respect to Ricci Quarter symmetric metric connection is equal to that with respect to Levi-civita con-nection.
Abstract
We study the Lorentzian Para-Sasakian Manifold with respect to Ricci Quarter symmetric metric connection. We find the existence of the Ricci Quarter symmetric metric connection on Lorentzian Para-Sasakian Manifold. We show that there is a relations between the Levi-Civita connection and the Ricci Quarter symmetric metric connection. We deduce the projective cur-vature tensor of Lorentzian para-Sasakian manifold is skew symmetric with respect to Ricci Quarter symmetric metric connection. Finally we obtain con-ditions under which the conformal curvature with respect to Ricci Quarter symmetric metric connection is equal to that with respect to Levi-civita con-nection.
참고문헌 (8)
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