On Three-dimensional Lorentzian -sasakian Manifolds (dedicated in Occasion of the 65-years of Professor
نویسندگان
چکیده
The object of the present paper is to study three-dimensional Lorentzian -Sasakian manifolds which are Ricci-semisymmetry, locally symmetric and have -parallel Ricci tensor. An example of a three-dimensional Lorentzian -Sasakian manifold is given which verifies all the Theorems.
منابع مشابه
On Generalized -recurrent Sasakian Manifolds (dedicated in Occasion of the 65-years of Professor
The object of the present paper is to study generalized -recurrent Sasakian manifolds. Here it is proved that a generalized -recurrent Sasakian manifold is an Einstein manifold. We also find a relation between the associated 1-forms A and B for a generalized -recurrent and generalized concircular -recurrent Sasakian manifolds. Finally, we proved that a three dimensional locally generalized -rec...
متن کاملOn $(epsilon)$ - Lorentzian para-Sasakian Manifolds
The object of this paper is to study $(epsilon)$-Lorentzian para-Sasakian manifolds. Some typical identities for the curvature tensor and the Ricci tensor of $(epsilon)$-Lorentzian para-Sasakian manifold are investigated. Further, we study globally $phi$-Ricci symmetric and weakly $phi$-Ricci symmetric $(epsilon)$-Lorentzian para-Sasakian manifolds and obtain interesting results.
متن کاملSOME RESULTS ON (LCS)2n+1-MANIFOLDS (DEDICATED IN OCCASION OF THE 65-YEARS OF PROFESSOR
In this paper we study Lorentzian Concircular Structure manifolds (briefly (LCS)2n+1-manifold ) and obtain some interesting results.
متن کاملRicci Solitons in Lorentzian Α-sasakian Manifolds
We study Ricci solitons in Lorentzian α-Sasakian manifolds. It is shown that a symmetric parallel second order covariant tensor in a Lorentzian α-Sasakian manifold is a constant multiple of the metric tensor. Using this it is shown that if LV g + 2S is parallel, V is a given vector field then (g, V ) is Ricci soliton. Further, by virtue of this result Ricci solitons for (2n + 1)-dimensional Lor...
متن کاملOn Lorentzian two-Symmetric Manifolds of Dimension-four
‎We study curvature properties of four-dimensional Lorentzian manifolds with two-symmetry property‎. ‎We then consider Einstein-like metrics‎, ‎Ricci solitons and homogeneity over these spaces‎‎.
متن کامل