Volume 48 | Number 5 | Year 2017 | Article Id. IJMTT-V48P546 | DOI : https://doi.org/10.14445/22315373/IJMTT-V48P546
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.
[1] A. Bejancu and K. L. Duggal, Real hypersurfaces of indefinite Kaechler manifolds, Int. J. Math. Math. Sci., 16 (3), (1993), 545-556.
[2] D. E. Blair, Contact manifolds in Riemannian geometry, Springer-Verlag, New-York.
[3] B. Chen and K. Yano, Hypersurface of a conformally flat space, Tensor N. S. 26 (1972), 315-321.
[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.
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