Some curvature tensors on a generalized Sasakian space form
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DOI:
https://doi.org/10.26637/mjm204/018Abstract
In the present paper, we have studied the geometry of generalized Sasakian space form with the condition satisfying \(W^*(\xi, X) W^*=0, W^*(\xi, X) S=0, W^*(\xi, X) P=0\) and \(P(\xi, X) P=0\).
Keywords:
Generalized Sasakian space form, Projective curvature tensor, \(M\)-projective curvature tensorMathematics Subject Classification:
53D10, 53D15, 53C25- Pages: 502-509
- Date Published: 01-10-2014
- Vol. 2 No. 04 (2014): Malaya Journal of Matematik (MJM)
Alegre P., Blair D. E. and Carriazo A., Generalized Sasakian-space-forms, Israel J. Math. 14 (2004), 157-183. DOI: https://doi.org/10.1007/BF02772217
Alegre P. and Carriazo A., Structures on generalized Sasakian-space-form, Differential Geom. and its application 26 (2008), 656-666. DOI: https://doi.org/10.1016/j.difgeo.2008.04.014
Alfonso Carriazo, David. E. Blair and Pablo Alegre, Proceedings of the Ninth International Workshop on Differential Geometry, 9 (2005), 31-39.
Venkatesha and Sumangala B, On M-projective curvature tensor of a generalized Sasakian space form, Acta Math. Univ. Comenianae, LXXXII (2) (2013), 209 - 217.
Belkhelfa M., Deszcz R., Verstraelen L., Symmetric properties of Sasakian-space-forms, Soochow J.math., 31 (2005), 611-616.
Blair D. E., Contact manifolds in Riemannian geometry, Lecture Notes in Mathematics, 509 Springer-Verlag, Berlin, 1976. DOI: https://doi.org/10.1007/BFb0079307
Chaubey S. K. and Ojha R. H., On the M-projective curvature tensor of a Kenmotsu manifold, Differential Geomerty-Dynamical Systems, 12 (2010), 52-60.
Chaubey S. K., Some properties of LP-Sasakian manifolds equipped with M-Projective curvature tensor, Bulletin of Mathematical Analysis and Applications, 3 (4) (2011), 50-58.
De U. C. and Sarkar A., On the Projective Curvature tensor of Generalized Sasakian-space-forms, Quaestiones Mathematicae, 33 (2010), 245-252. DOI: https://doi.org/10.2989/16073606.2010.491203
Mehmet Atceken, On generalized Sasakian space forms satisfying certain conditions on the concircular curvature tensor, Bulletin of Mathematical Analysis and applications, 6 (1) (2014), 1-8.
Ojha R. H., A note on the m-projective curvature tensor, Indian J. pure Applied Math., 8 (12) (1975), 15311534.
Ojha R. H., On Sasakian manifold, Kyungpook Math. J., 13 (1973), 211-215.
Pokhariyal G. P. and Mishra R. S., Curvature tensor and their relativistic significance II, Yokohama Mathematical Journal, 19 (1971), 97-103.
Prakasha D. G., On Generalized Sasakian-Space-Forms with Weyl-Conformal Curvature Tensor, Lobachevskii Journal of Mathematics, 33 (3) (2012), 223228. DOI: https://doi.org/10.1134/S1995080212030110
Prakasha D. G. and Nagaraja H. G., On quasi-Conformally flat and quasi-Conformally semisymmetric generalized Sasakian-space-forms , CUBO A Mathematical Journal, 15 (3) (2013), 59-70. DOI: https://doi.org/10.4067/S0719-06462013000300007
Yano K. and Kon M., Structures on manifolds, Series in pure mathematics, Vol.3, World Scientific Publishing Co., Singapore, 1984. DOI: https://doi.org/10.1142/0067
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