On W2-curvature tensor of a generalized complex space forms
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Abstract
In the present paper we study certain curvature conditions on
W2-curvature tensor. We study W2-semisymmetric, W2-flat generalized complex space forms. Also W2 · S = 0 and W2 · R = 0 on generalized complex space forms are studied.
Key words:- Generalized complex space forms, W2-semisymmetric, W2-flat.
AMS Subject Classification (2010): 53C15, 53C20, 53C21, 53C25, 53D10,
53C55;
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References
P. Alegre, D.E Blair and A. Carriazo, Generalized Sasakian -space forms. Isrel.J.Math., 141, (2004),PP.151-183.
D.E. Blair, Contact main a Riemannian geometry, Lecture notes in Math. 509 Springer verlag, Verlin,(1976).
U.C. De and Avijit Sarkar, On the projective curvature tensor of generalized -Sasakian-space forms,Questiones Mathematicae, 33, (2010), PP.245-252.
U.C. De and G.C. Ghosh, On generalized Quasi-Einstein manifolds, Kyungpoole Math.J., 44, (2004),
PP.607-615.
U. K. Kim, conformally flat generalized Saskian-space form and locally symmetric generalized Sasakian space forms, Notedi Mathematica, 26, (2006), PP.55-67.
Mehmet atceken, On generalized Saskian space forms satisfying certain conditions on the concircular curvature tensor, Bulletin of Mathemaical analysis and applications, volume 6, Issue 1, (2014), PP.1-8.
Olszak. Z, On The existance of generlized complex space form, Isrel.J.Math. 65, (1989), PP.214-218.
R.N Singh and Shravan K. Pandey, On generalized Sasakian space form, The mathematics student, vol 81, Nos. 1-4, (2012), PP.205-213.
L. Tamsassy, U.C De and T.Q.Bink, On weak symmetries of Kaehler manifolds, Balkan.J.Geom.Appl.,5, (2000), PP.149-155.
Venkatesh and B.Sumangala, On M-Projective curvature tensor of a generalized Sasakian space form ,
acta Math, Univ,comenianae vol.LXXXII, 2(2013), PP.209-217.