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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 48 | Number 5 | Year 2017 | Article Id. IJMTT-V48P546 | DOI : https://doi.org/10.14445/22315373/IJMTT-V48P546

On Conformally Flat and WeylSemisymmetric (ϵ) - Sasakian Manifolds


M. Nagaraja, D. G. Prakasha, Pundikala Veeresha
Abstract

In this paper, we study (ε)-Sasakian manifolds satisfying certain conditions on the conformal curvature tensor. Here, we consider conformally flat and Weyl-semisymmetric (ε)- Sasakian manifolds.

Keywords
(ε)-Sasakian manifold. Conformally flat. Weyl-semisymmetric. (η)-Einstein manifold.
References

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[4] K. L. Duggal, Space time manifolds and contact structure, Int. J. Math. Math. Sci. 13 (3) (1990), 545-554.
[5] R. Kumar, R. Rani and R. K. Nagaich, On sectional curvature of (ε)-Sasakian manifolds, Int. J. Math & Math. Sci. 2007 Article ID 93562. Doi:10.1155/2007/93562.
[6] T. Takahashi, Sasakian manifold with pseudo-Riemannian metric, Tohoku Math. J., 21 (1969), 271-290.
[7] X. Xufeng and C. Xiaoli, Two theorems on (ε)-Sasakian manifolds, Int. J. Math& Math. Sci., 21 (2) (1998), 249-254.

Citation :

M. Nagaraja, D. G. Prakasha, Pundikala Veeresha, "On Conformally Flat and WeylSemisymmetric (ϵ) - Sasakian Manifolds," International Journal of Mathematics Trends and Technology (IJMTT), vol. 48, no. 5, pp. 301-304, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V48P546

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