Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

On a Type of Generalized Sasakian Space Form


Affiliations
1 Department of Mathematics and Computer Science, Mizoram University, Tanhril Aizawl-796004, India
     

   Subscribe/Renew Journal


The object of the present paper is to study generalized Sasakian space forms satisfying certain conditions on the W2-curvature tensor.

Keywords

Generalized Sasakian Space Forms, M-Projective Curvature Tensor, Projective Curvature Tensor, Pseudo Projective Curvature Tensor, W2-Curvature Tensor, Semi Symmetry.
Subscription Login to verify subscription
User
Notifications
Font Size


  • P. Alegre, D. Blair and A. Carriazo, Generalised Sasakian space forms, Israel J. Math., 14(2004),157-183.
  • P. Alegre and A. Carriazo, Structures on generalised Sasakian space forms, Diff. Geom. Appl., 26 (2008), 656-666.
  • D. E. Blair, Contact manifolds in Riemannian Geometry, Lecture notes in Mathematics, 509, Springer-Verlag, Berlin, 1976.
  • E. Cartan, Sur une classe remarquable espaces de Riemann, Bull. Soc. Math. France, 54(1926), 214-264.
  • R. Deszcz, L. Verstraelen and S. Yaprak, Warped products realizing a certain conditions of pseudo symmetry type imposed on the Weyl curvature tensor, Chin. J. Math., 22(2)(1994), 139-157.
  • U.C. De, and A. Sarkar, On the projective curvature tensor of generalized Sasakian space forms, Quaestiones Math., 33 (2010),245-252.
  • U.C. De, and A. Sarkar, Some curvature properties of generalized Sasakian space forms, Lob. J. Math., 33(1) (2012),22-27.
  • U.C. De, and A. Sarkar,On a type of p-Sasakian manifolds, Math. Reports, 11(6)(2009), 139-144.
  • A. Kumari and S. K. Chanyal, On The T Curvature Tensor of Generalized Sasakian Space Form, IOSR J. Math., 11 (2015), 61-68.
  • B. O'Neill, Semi-Riemannian geometry. With applications to relativity, Pure and Applied Mathematics, (103), Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York, 1983.
  • G. P. Pokhariyal, Study of a new curvature tensor in a Sasakian manifold, Tensor N.S., 36 (1982), 222-225.
  • G. P. Pokhariyal and R. S. Mishra , Curvature tensor and their relativistic signicance, Yokohama Math. J., 18 (1970), 105-108.
  • G. P. Pokhariyal and R. S. Mishra,Curvature tensor and their relativistic signicance II, Yokohama Math. J., 19 (1971), 97-103.
  • B. Prasad, A pseudo projective curvature tensor on a riemannian manifold, Bull. of Cal. Math. Soc., 94(3) (2002), 163-166.
  • A. Sarkar, M. Sen and A. Akbar,Generalized Sasakian-Space-Forms with Conharmonic curvature tensor, Palestine J. Math., 4(1)(2015), 84-90.
  • A.Sarkar and A. Akbar , Generalised sasakian space forms with projective curvature tensor, Demonstratio Mathematica, XLVII(3)(2014),725-735.
  • B. Sumangala, and Venkatesha, Some curvature tensors on a generalized Sasakian space form, Malaya J. Math., 2(4)(2014), 502-509.
  • M. M. Tripathi, and P. Gupta, T-curvature tensor on a semi-Riemannian manifold, J. Adv. Math, Stud., 4, No.1, (2011), 117-129.
  • Venkatesha and B. Sumangala, On m-projective curvature tensor of a generalized Sasakian space form, Acta Math. Univ. Comenianae, LXXXII (2) (2013), 209-217
  • A. Yildiz and U.C. De, On a type of Kenmotsu manifolds, Diff. Geom. Dyn. System, 12 (2010), 289-298.
  • F.O. Zengin, On Riemannian manifolds admitting W2-curvature tensor, Miskolc Math.
  • Notes, 12 (2011), 289-296.

Abstract Views: 261

PDF Views: 0




  • On a Type of Generalized Sasakian Space Form

Abstract Views: 261  |  PDF Views: 0

Authors

Jay Prakash Singh
Department of Mathematics and Computer Science, Mizoram University, Tanhril Aizawl-796004, India

Abstract


The object of the present paper is to study generalized Sasakian space forms satisfying certain conditions on the W2-curvature tensor.

Keywords


Generalized Sasakian Space Forms, M-Projective Curvature Tensor, Projective Curvature Tensor, Pseudo Projective Curvature Tensor, W2-Curvature Tensor, Semi Symmetry.

References