Volume 49 | Number 2 | Year 2017 | Article Id. IJMTT-V49P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V49P512
The ob ject of the present paper is to study generalized Sasakianspace-forms satisfying certain curvature conditions on W7 curvature tensor. In this paper, we study W7 semisymmetric, W7 áat, generalized Sasakian-space-forms satisfying G:S = 0; W7 áat. Also satisfying G:P = 0; G:Ce = 0; G:R
[1] A. Sarkar and U.C. De, "Some curvature properties of generalized Sasakian- space-forms", Lobachevskii journal of mathematics.33(2012); no:1; 22 - 27.
[2] C. Özgür and M. M. Tripathi, "On P-Sasakian manifolds satisfying certain conditions on concircular curvature tensor", Turk. J. math.31(2007); 171 - 179.
[3] C. Özgür,"On - conformally at LP- Sasakian manifolds", RadoviMathematics. 12(2003); 99 - 106.
[4] C. Özgür," Hypersurfaces satisfying some curvature conditions in the semi- Euclidean space" Chaos; Solutions and Fractals; vol. 39, no.5, pp.2457-2464; 2009.
[5] D.E. Blair, "Contact Manifolds in a Riemannian Geometry", vol. 509 of Lecture Notes in Mathematics, Springer, Berlin, Germany,pp 1 - 16; 1976.
[6] G. Zhen, J. L. Cabrerizo, L. M. Fernandez and M. Frenandez,"On - conformally at contact metric manifolds", Indian Journal of Pure and Applied Mathematics, vol. 28,no.6, pp.725 - 734; 1997.
[7] J. L. Cabrerizo, L. M. Fernandez and M. Frenandez and Z.Guo," The struc- ture of a class of K-contact manifolds",Acta Mathematica Hungarica, vol.82, no:4, pp.331 - 340; 1999.
[8] M.M. Tripathi and P. Gupta, "- curvature tensor on a semi-reimannian manifold", J. Adv. Math. Studies, vol.4(2011); no:1; 117 - 129.
[9] P. Alegre and A.Cariazo, "Structures on generalized Sasakian-space-forms", Di¤erential Geom. and its application 26(2008); 656 - 666:doi:10:1016=j difgeo.
[10] P. Alegre, D. E. Blair, and A. Carriazo, "Generalized Sasakian-space-forms", Israel Journal of Mathematics, vol. 141, pp. 157 - 183; 2004.
[11] P. Alegre and A.Cariazo, Y.H.Kim, and D. W. Yoon, " B.Y. Chens in- equality for submanifolds of generalized space forms",Indian Journal of Pure and Applied Mathematics, vol:38, no.3, pp. 185 - 201; 2007.
[12] R. Al-Ghefari, F.R. Al-Solamy and M.H.Shahid," CR- submanifolds of gen- eralized Sasakian-space-forms," JP Journal of Geometry and Topology, vol. 6, no. 2, pp. 151 - 166; 2006.
[13] R. Al-Ghefari, F.R. Al-Solamy and M.H.Shahid," Contact CR-warped prod- uct submanifolds in genralized Sasakian-space-forms," Balkan Journal of Geometry and its Applications; vol. 11, no. 2, pp. 1 - 10; 2006.
[14] Sreenivasa. G.T. Venkatesha and Bagewadi C.S, "Some results on (LCS)2n+1-Manifolds", Bulletin of mathematical analysis and applications: Vol.1, Issue 3(2009); 64-70.
[15] S. K. Yadav, P.K. Dwivedi and D. Suthar, "On (LCS)2n+1- Manifolds satisfying certain conditions on the concircular curvature tensor", Thai journal of mathematics 9(2011), no. 3; 697 - 603.
[16] U. C. De and A. Sarkar, "On the projective curvature tensor of general- ized Sasakian-space-forms", Quaestiones Mathematicae, vol. 33; no.2; pp. 245 - 252; 2010.
[17] Z.Guo," Conformally symmetric K- contact manifolds",Chinese Quarterly Journal of Mathematics; vol:7; no:1; pp:5 - 10; 1992.
Shyam Kishor, Pushpendra Verma, "On W7- Curvature Tensor of Generalized Sasakian-Space-Forms," International Journal of Mathematics Trends and Technology (IJMTT), vol. 49, no. 2, pp. 100-112, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V49P512