Three Dimensional Quasi-Para-Sasakian Manifolds Satisfying Certain Curvature Conditions
Abstract
Keywords
quasi-para-Sasakian manifold,Einstein manifold,concircularly flat,Projective curvature tensor
References
- [1] Bejan, C. L. and Crasmareanu M., Second order parallel tensors and Ricci solitons in 3-dimensional normal paracontact geometry, Ann. Global Anal. Geom. 46(2) (2014), 117–127.
- [2] Besse, A. L., Einstein manifolds, Springer-verlag, Berlin-Heidelberg (1987).
- [3] Blair, D. E., The theory of quasi-Sasakian structures, J. Differential Geom. 1 (1967), 331–345.
- [4] Blair, D. E., Riemannian Geometry of Contact and Symplectic Manifolds, Progress in Mathematics Vol. 203, Birkhäuser, Boston, 2002.
- [5] Cappelletti-Montano, B., Küpeli Erken, I. and Murathan, C., Nullity conditions in paracontact geometry, Diff. Geom. Appl. 30 (2012), 665–693.
- [6] Dacko, P., On almost para-cosymplectic manifolds, Tsukuba J. Math. 28 (2004), 193–213.
- [7] Deszcz, R., Verstraelen L. and Yaprak S.,Warped products realizing a certain conditions of pseudosymmetry type imposed on theWeyl curvature tensor, Chin. J. Math. 22(1994), 139-157.
- [8] Erdem, S., On almost (para)contact (hyperbolic) metric manifolds and harmonicity of ('; '0)- holomorphic maps between them, Houston J. Math. 28 (2002), 21–45.
- [9] Kanemaki, S., Quasi-Sasakian manifolds, Tohoku Math. J. 29 (1977), 227–233.
- [10] Kaneyuki, S. and Williams, F. L., Almost paracontact and parahodge structures on manifolds, Nagoya Math. J 1985; 99: 173–187.