A Study of W4 Semi-Symmetric
Generalized Sasakian-Space-Form

Abhishek Singh

doi:https://doi.org/10.14445/22315373/IJMTT-V34P523

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 34 | Number 3 | Year 2016 | Article Id. IJMTT-V34P523 | DOI : https://doi.org/10.14445/22315373/IJMTT-V34P523

A Study of W4 Semi-Symmetric Generalized Sasakian-Space-Form

Abhishek Singh

Abstract

In this paper, we study 𝑊4 semi-symmetric generalized Sasakian-space-form. The Ricci-tensor, the Ricci-operator and the scalar curvature are also found in a W4 semi-symmetric generalized Sasakianspace-form.

Keywords

Sasakian-space-form, W4 curvature tensor, Ricci-tensor, Ricci-operator and scalar curvature.

References

[1] P. Alegre, D. E. Blair, and A. Carriiazo, Generalized Sasakian Space Form, Israel J. Math. 14 (2004) 157-183.
[2] P. Alegre and A. Carriiazo, Structures on Generalized Sasakian-space-form, Diff. Geo. and its Application, Vol. 26(6)(2008) 656-666.
[3] D. E. Blair, Riemannian Geometry of Contact and Symplectic manifolds, Birkhauser Boston, (2002).
[4] U. K. Kim, Conformally flat Generalized Sasakian-space-forms and locally symmetric Generalized Sasakian-space-forms, Note di Mathematica 26(1)(2006) 55-67.
[5] G. P. Pokhariyal, Curvature tensors and their relative significance III, Yokohama Math. J., 20(1973) 115-119.

Citation :

Abhishek Singh, "A Study of W4 Semi-Symmetric Generalized Sasakian-Space-Form," International Journal of Mathematics Trends and Technology (IJMTT), vol. 34, no. 3, pp. 130-134, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V34P523