On E Recurrent Generalized Sasakian-Space-Forms
generalized Sasakian-space-forms, recurrent, locally recurrent, Einstein manifold
Abstract
The object of this paper is to study ∅-recurrent generalized Sasakian-space-forms. It is proved that a ∅-recurrent generalized Sasakian-space-forms is an -Einstein manifold, provided f 1f 3 ≠ 0 and ∅-recurrent generalized Sasakian-space-form having a non-zero constant sectional curvature is locally ∅-symmetric.
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References
Alfonso Carriazo, David Blair, Pablo Alegre (2005) proceedings of the Ninth International Workshop on Differential Geometry. 9, 31-39.
P Alegre, D Blair, A Carriazo (2004) Generalized Sasakian-space-forms. 14, 157-183.
Pablo Alegre, Alfonso Carriazo (2008) Structures on generalized Sasakian-space-forms. 26(6), 656-666.
M Belkhelfa, R Deszcz, L Verstraelen (2005) Symmetric properties of Sasakianspace-forms. 31, 611-616.
D Blair (1976) Contact manifolds in Riemannian geometry. 509.
U De, A Sarkar (2010) Some result on Generalized Sasakian-space-forms. 8(1), 1-10.
U De, Ahmet Yildiz, A Yaliniz (2009) On ∅-recurrent Kenmotsu manifolds. 33, 17-25.
U De, A Sarkar (2010) On the Projective Curvature tensor of Generalized Sasakian-space-forms. 33, 245-252.
U De, A Shaikh, Sudipta Biswas (2003) On ∅-recurrent Sasakian manifold. 32(2), 43-48.
Toshio Takahashi (1977) Sasakian $phi $-symmetric spaces. 29(1), 91-113.
Venkatesha, C Bagewadi, K Pradeep Kumar (2008) Some Results on Lorentzian Para-Sasakian Manifolds. 2011, 1-9.
C Venkatesha, Bagewadi (2006) On Pseudo projective ∅-recurrent Kenmotsu manifolds. 32(3), 433-439.
A Sarkar, U De (2012) Some curvature properties of generalized Sasakian-space-forms. 33(1), 22-27.
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2012-08-07
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