On A Semi-Symmetric On Non-Metric Connection In An Lp-Sasakian Manifold

Year 2010, Volume: 3 Issue: 2, 15 - 25, 30.10.2010

Selcen Yüksel Perktaş Erol Kılıç Sadık Keleş

Abstract

  

Keywords

Lorentzian para-Sasakian manifold, η-Einstein manifold, semi- symmetric non-metric connection, projective curvature tensor, v-Weyl projective tensor, concircular curvature tensor, conformal curvature tensor, quasi-conformal curvature tensor, deformation algebra

References

• [1] Agashe, N. S. and Chafle, M. R., A semi-symmetric non-metric connection in a Riemannian manifold, Indian J. Pure Appl. Math. 23 (1992), 399-409.
• [2] Biswas, S. C. and De, U. C., On a type of semi-symmetric non-metric connection on a Riemannian manifold, Ganita. 48 (1997), 91-94.
• [3] De, U. C. and Kamilya, D., Hypersurfaces of a Riemannian manifold with semi-symmetric non-metric connection, J. Indian Inst. Sci. 75 (1995), 707-710.
• [4] Eisenhart, L. P., Riemannian Geometry, Princeton University Press, Princeton, N. J., 1949.
• [5] Friedmann, A. and Schouten, J. A., Über die Geometric der holbsymmetrischen Übertragurgen. Math. Z. 21 (1924), 211-233.
• [6] Hayden, H. A., Subspaces of space with torsion, Proc. London Math. Soc. 34 (1932), 27-50.
• [7] Matsumoto, K. and Mihai, I., On a certain transformation in a Lorentzian para-Sasakian manifold, Tensor (N. S.) 47 (1988), 189-197.
• [8] Matsumoto, K., On Lorentzian Paracontact manifolds, Bull. Yamagata Univ. Natur. Sci. 12(2) (1989), 151-156.
• [9] Mihai, I. and Rosca, R., On Lorentzian P-Sasakian manifolds, Classical Analysis, World Scientific Publi., Signapore, (1992), 155-169
• [10] Mihai, I., Shaikh, A. A. and De, U. C., On Lorentzian para-Sasakian manifolds,Rendicontidel Seminario Matematico di Messina, Serie II, 1999.
• [11] Mishra, R. S., Structures on a differentiable manifold and their applications, Chandrama Prakashan, Allahabad, India, 1984.
• [12] Sengupta, J., De, U. C. and Binh, T. Q., On a type of semi-symmetric non-metric connection on a Riemannian manifold, Indian J. Pure Appl. Math. 31(12) (2000), 1659-1670.
• [13] Shaikh,A. A. and Biswas, S., On LP-Sasakian manifolds, Bull. of the Malaysian Math. Sci. Soc. 27,(2004), 17-26.
• [14] Tigaeru, C., v-projective symmetries of fibred manifolds, Arch. Math. 34, (1998), 347-352.
• [15] Tripathi, M. M., On a semi-symmetric metric connection in a Kenmotsu manifold, J. Pure Math. 16 (1999), 67-71.
• [16] Tripathi, M. M. and Nakkar, N., On a semi-symmetric non-metric connection in a Kenmotsu manifold, Bull. Cal. Math. Soc. 16 (2001), no.4, 323-330.
• [17] Tripathi, M. M. and De, U. C., Lorentzian Almost Paracontact Manifolds and their subman- ifolds, Journal of the Korean Society of Mathematical Education, 2 (2001), 101-125.
• [18] Tripathi, M. M., A new connection in a Riemannian manifold, International Electronic Jour- nal of Geometry. vol. 1 (2008), no.1, 15-24.
• [19] Vaisman, I., Sur quelques formulas du calcul de Ricci global, Comm. Math. Helvv. 4 (1966- 67), 73-87.
• [20] Yano, K. and Sawaki, S., Riemannian manifolds admitting a conformal transformation group, J. Differential Geometry 2 (1968), 161-184.
• [21] Yano, K., On semi-symmetric metric connections, Revue Roumaina De Math. Pures Appl. 15 (1970), 1579-1586.
• [22] Yano, K. and Kon, M., Structures on Manifolds, Series in Pure Mathematics, vol.3, World Scientific, Singapore, 1984.