Showing papers by "Arindam Bhattacharyya published in 2013"
TL;DR: In this article, the authors prove some properties of the indefinite Lorentzian para-Sasakian manifold and obtain a result on the anti-invariant distribution of totally umbilic contact CR-submanifolds.
Abstract: In this paper we prove some properties of the indefinite Lorentzian para-Sasakian manifolds. Section 1 is introductory. In Sec- tion 2 we define D-totally geodesic and D ? -totally geodesic contact CR- submanifolds of an indefinite Lorentzian para-Sasakian manifold and de- duce some results concerning such a manifold. In Section 3 we state and prove some results on mixed totally geodesic contact CR-submanifolds of an indefinite Lorentzian para-Sasakian manifold. Finally, in Section 4 we obtain a result on the anti-invariant distribution of totally umbilic contact CR-submanifolds of an indefinite Lorentzian para-Sasakian man- ifold.
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