On a class of gneralized Sasakian-space-forms
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Abstract
The object of the present paper is to study quasi-conformally at generalized Sasakian-space-forms. Also we study quasi-conformally semisymmetric generalized Sasakian-space-forms. As a consequence of the results we obtain some important corollaries.
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De, U., Majhi, P., & Yildiz, A.
(2018).
On a class of gneralized Sasakian-space-forms.
Acta Mathematica Universitatis Comenianae, 87(1), 97-105.
Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/608/554
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References
[1] P. Alegre, D. E. Blair and A. Carriazo, Generalized Sasakian space-forms, Israel J. Math., 141(2004), 157-183.
[2] P. Alegre and A. Carriazo, Submanifolds of generalized Sasakian space-forms, Taiwanese J. Math., 13(2009), 923-941.
[3] P. Alegre and A. Carriazo, Generalized Sasakian space-forms and conformal changes of metric, Results Math 59(2011), 485-493.
[4] P. Alegre, A. Carriazo, C. Ozgur and S. Sular, New examples of generalized Sasakian space-forms, Proc. Est. Acad. Sci 60(2011), 251-257.
[5] P. Alegre and A. Carriazo, Structures on generalized Sasakian space-forms, Diff. Geom. Appl., 26(2008), 656-666.
[6] K. Amur and Y. B. Maralabhavi, On quasi-conformal
at spaces, Tensor, N. S., 31(1977), 194-198.
[7] C. L. Bejan, A note on \eta-Einstein manifolds, Harmonic maps and dierential geometry, Contemp. Math., 542, Amer. Math. Soc., Providence, RI, 542(2011), 261-265.
[8] D. E. Blair, Lecture notes in Mathematics, 509, Springer-Verlag Berlin(1976).
[9] D. E. Blair, Riemannian Geometry of contact and symplectic manifolds, Birkhauser, Boston, 2000.
[10] U. C. De and Y. Matsuyama, On quasi-conformally
at manifolds, SUT. J. Math., 42(2006), 295-303.
[11] U. C. De and A. Gazi, Sasakian manifold with quasi confomal curvature tensor, Bull. Korean. Math. Soc., 45(2008), 313-319.
[12] U. C. De and A. Sarkar, On the projective curvature tensor of generalized Sasakian space-forms, Quaestiones Mathematicae, 33(2010), 245-252.
[13] U. C. De and A. Sarkar, Some results on generalized Sasakian space-forms, Thai J. Math., 8(2010), 1-10.
[14] U. C. De and P. Majhi, Certain curvature properties of generalized Sasakian space-forms, Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 83(2013), 137-141.
[15] U. C. De and P. Majhi, Some Curvature properties of generalized Sasakian space-forms, Facta Universitatis (mis) Ser. Math. Inform. 27(2012), 271-282.
[16] U. C. De and P. Majhi, \phi-semisymmetric generalized Sasakian space-forms, Arab J. Math. Sci. 21(2015), 170-178.
[17] L. P. Eisenhart., Riemannian Geometry, Princeton University Press, 1949.
[18] P. Majhi and U. C. De, The structure of a class of generalized Sasakian-space-forms, Extracta Math., 27(2012), 301-308.
[19] C. Ozgur and U. C. De, On the quasi-conformal curvature tensor of a Kenmotsu manifold, Mathematica Pannonica., 17(2006), 221-228.
[20] U. K. Kim, Conformally at generalized Sasakian space-forms and locally symmetric generalized Sasakian space-forms, Note Mat., 26(2006), 55-67.
[21] K. Yano and S. Sawaki, Riemannian manifolds admitting a conformal transformation group, J. Diff. Geom. 2(1968), 161-184.
[2] P. Alegre and A. Carriazo, Submanifolds of generalized Sasakian space-forms, Taiwanese J. Math., 13(2009), 923-941.
[3] P. Alegre and A. Carriazo, Generalized Sasakian space-forms and conformal changes of metric, Results Math 59(2011), 485-493.
[4] P. Alegre, A. Carriazo, C. Ozgur and S. Sular, New examples of generalized Sasakian space-forms, Proc. Est. Acad. Sci 60(2011), 251-257.
[5] P. Alegre and A. Carriazo, Structures on generalized Sasakian space-forms, Diff. Geom. Appl., 26(2008), 656-666.
[6] K. Amur and Y. B. Maralabhavi, On quasi-conformal
at spaces, Tensor, N. S., 31(1977), 194-198.
[7] C. L. Bejan, A note on \eta-Einstein manifolds, Harmonic maps and dierential geometry, Contemp. Math., 542, Amer. Math. Soc., Providence, RI, 542(2011), 261-265.
[8] D. E. Blair, Lecture notes in Mathematics, 509, Springer-Verlag Berlin(1976).
[9] D. E. Blair, Riemannian Geometry of contact and symplectic manifolds, Birkhauser, Boston, 2000.
[10] U. C. De and Y. Matsuyama, On quasi-conformally
at manifolds, SUT. J. Math., 42(2006), 295-303.
[11] U. C. De and A. Gazi, Sasakian manifold with quasi confomal curvature tensor, Bull. Korean. Math. Soc., 45(2008), 313-319.
[12] U. C. De and A. Sarkar, On the projective curvature tensor of generalized Sasakian space-forms, Quaestiones Mathematicae, 33(2010), 245-252.
[13] U. C. De and A. Sarkar, Some results on generalized Sasakian space-forms, Thai J. Math., 8(2010), 1-10.
[14] U. C. De and P. Majhi, Certain curvature properties of generalized Sasakian space-forms, Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 83(2013), 137-141.
[15] U. C. De and P. Majhi, Some Curvature properties of generalized Sasakian space-forms, Facta Universitatis (mis) Ser. Math. Inform. 27(2012), 271-282.
[16] U. C. De and P. Majhi, \phi-semisymmetric generalized Sasakian space-forms, Arab J. Math. Sci. 21(2015), 170-178.
[17] L. P. Eisenhart., Riemannian Geometry, Princeton University Press, 1949.
[18] P. Majhi and U. C. De, The structure of a class of generalized Sasakian-space-forms, Extracta Math., 27(2012), 301-308.
[19] C. Ozgur and U. C. De, On the quasi-conformal curvature tensor of a Kenmotsu manifold, Mathematica Pannonica., 17(2006), 221-228.
[20] U. K. Kim, Conformally at generalized Sasakian space-forms and locally symmetric generalized Sasakian space-forms, Note Mat., 26(2006), 55-67.
[21] K. Yano and S. Sawaki, Riemannian manifolds admitting a conformal transformation group, J. Diff. Geom. 2(1968), 161-184.