On Lorentzian trans-sasakian manifolds-I
1Department of Mathematics, K.K. Wagh Institute of Engineering Education and Research Nashik M.S India
2N.V.P mandal's Arts, Commerece & Science College Lasalgaon Nashik M.S.India
Email:-drsspujar@rediffmail.com
The purpose of the paper is to introduce the trans-Sasakian structure on Lorentzian manifolds and study its basic formulas which are used to establish some of the properties of Lorentzian trans-Sasakian manifolds. In this paper, we study the properties of quasi-conformally and conformally flat Lorentzian trans-Sasakian manifolds. In fact, we obtain a condition for quasi-conformally flat Lorentzian Trans Sasakian Manifold to be constant sectional curvature, and also showed that manifold is h- Einstein. We also study the geometry of Lorentzian trans-Sasakian manifold satisfying R(X, Y). P=0, R(X,Y) .N =0and C = 0.
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S. S. PUJAR1 and V. J. KHAIRNAR2 , "On Lorentzian trans-sasakian manifolds-I ", Journal of Ultra Scientist of Physical Sciences, Volume 23, Issue 1, Page Number 53-66, 2016Copy the following to cite this URL:
S. S. PUJAR1 and V. J. KHAIRNAR2 , "On Lorentzian trans-sasakian manifolds-I ", Journal of Ultra Scientist of Physical Sciences, Volume 23, Issue 1, Page Number 53-66, 2016Available from: https://www.ultrascientist.org/paper/682/
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