CR–Submanifold of a Lorentzian Para Sasakian Manifold

S.P. Pandey; Lakhan Singh; Shailendra Kumar Gautam

doi:https://doi.org/10.14445/22315373/IJMTT-V18P501

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 18 | Number 1 | Year 2015 | Article Id. IJMTT-V18P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V18P501

CR–Submanifold of a Lorentzian Para Sasakian Manifold

S.P. Pandey, Lakhan Singh, Shailendra Kumar Gautam

Abstract

In this paper, we study CR-submanifold of a Lorentzian Para – Sasakian manifold. The integrability condition and parallel horizontal distribution also have been discussed.

Keywords

Differentiable manifold, vector-field, 1-form, Lorentzian metric, sub-manifold, distribution, tangential, normal, horizontal and vertical components.

References

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[2] Bejancu, A.: Geometry of CR-submanifolds. D. Reidel Publishing Company, (1986).
[3] Bishop, R. L.. and Crittenden, R.J. : Geometry of manifolds, Acaemic press, New York (1964).
[4] Chen, B.Y. : Geometry of submanifolds and its applications, Sci., Univ. Tokyo, 1981.
[5] Chen, B.Y. : Geometry of submanifold, Dekker, N.Y., 1973.
[6] Ojha, J., Ahmed, M. : CR submanifolds of a Lorentzian Para-sasakain manifold endowed with the canonical semi-symmetric, semi metric connections, Int J. contempt. Math. Sciences, Vol 5, No 33 (2010).
[7] Srivastava, Asha and Bhatia Kamal : On CR submanifolds of Lorentzian Para-sasakain manifolds. Acta Ciencia, Indica, Vol. XXXVIII, M. No. 4, 549 (2012), 549-554.

Citation :

S.P. Pandey, Lakhan Singh, Shailendra Kumar Gautam, "CR–Submanifold of a Lorentzian Para Sasakian Manifold," International Journal of Mathematics Trends and Technology (IJMTT), vol. 18, no. 1, pp. 1-6, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V18P501