Semi-Symmetric Conditions on Generalized Complex Space Forms
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Abstract
The aim of this paper is to study H-projective curvature and pseudoprojective curvature tensors P and \tilde{P} by using semi-symmetry and two-semi-symmetry of these tensors on generalized complex space forms. Also generalized complex space forms are studied under the conditions P · S = 0 and \tilde{P} · S = 0.
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Bagewadi, C., & Praveena, M.
(2016).
Semi-Symmetric Conditions on Generalized Complex Space Forms.
Acta Mathematica Universitatis Comenianae, 85(1), 147-154.
Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/220/295
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References
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[14] Venkatesh and Sumangala B., On M-Projective curvature tensor of a generalized Sasakian space form , acta Math, Univ,comenianae vol.LXXXII, 2(2013), PP. 209-217.
[15] Yadav S., Suthar D. L. and Srivastava A. K., Some results on M(f1, f2, f3)2n+1-manifolds, International Journal of Pure and Applied Mathematics, Volume 70 No. 3 2011, PP.415-423.
[2] Basavarajappa N. S., A study on conservative and irotational curvature tensor, Ph.D Thesis, Kuvempu University, (2008).
[3] Bharathi M. C. and Bagewadi C. S., On generalized complex space forms, IOSR Journal of Mathematics., vol 10,
(2014), PP. 44-46.
[4] De U. C. and Avijit Sarkar, On the projective curvature tensor of generalized -Sasakian-space forms, Questiones
Mathematicae, 33, (2010), PP. 245-252.
[5] Deszcz R., On pseudo symmetric spaces, Bull. Soc. Math., Belg. Ser., 44 (1992), 1-34.
[6] Kentaro Yano, Masahiro Kon, Structures On Manifolds, Series In Pure Mathematics-3.
[7] 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.
[8] Nagaraja H. G., Somashekhara G. and Savithri shashidhar, On generalized Sasakian space forms, International Scholarly Research Network Geometry, 2012.
[9] Olszak Z.,On The existance of generlized complex space form, Isrel.J.Math. 65, (1989), PP.214-218.
[10] Szabo Z. I., Structure theorem on Riemannian spaces satisfying R(X, Y ) · R = 0, The local version, J. Diff. Geo.,
17 (1982), PP. 531-582.
[11] Tamsassy L., De U. C. and Bink T. Q., On weak symmetries of Kaehler manifolds, Balkan.J.Geom.Appl., 5,
(2000), PP.149-155.
[12] Tricerri F. and Vanhecke L., Curvature tensors on almost Hermitian manifolds, Transactions of the American
Mathematical Society, 267 (1981), PP.365-398.
[13] Vanhecke L., Almost Hermitian manifolds with J-invariant Riemann curvature tensor, Rendiconti del Seminario Mathematico della Universit e Politecnico di Torino, 34 (1975-76), PP. 487-498.
[14] Venkatesh and Sumangala B., On M-Projective curvature tensor of a generalized Sasakian space form , acta Math, Univ,comenianae vol.LXXXII, 2(2013), PP. 209-217.
[15] Yadav S., Suthar D. L. and Srivastava A. K., Some results on M(f1, f2, f3)2n+1-manifolds, International Journal of Pure and Applied Mathematics, Volume 70 No. 3 2011, PP.415-423.