On Generalized -recurrent Sasakian Manifolds (dedicated in Occasion of the 65-years of Professor
نویسندگان
چکیده
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 -recurrent Sasakian manifold is of constant curvature.
منابع مشابه
On Three-dimensional Lorentzian -sasakian Manifolds (dedicated in Occasion of the 65-years of Professor
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.
متن کاملOn some generalized recurrent manifolds
The object of the present paper is to introduce and study a type of non-flat semi-Riemannian manifolds, called, super generalized recurrent manifolds which generalizes both the notion of hyper generalized recurrent manifolds [A.A. Shaikh and A. Patra, On a generalized class of recurrent manifolds, Arch. Math. (Brno) 46 (2010) 71--78.] and weakly generalized recurrent manifolds ...
متن کاملOn Generalized Recurrent and Ricci Recurrent Lorentzian Trans-Sasakian Manifolds
The purpose of the paper is to introduce the notion of generalized recurrent Lorentzian transSasakian manifold and study some of the properties of generalized recurrent and Ricci recurrent Lorentzian Trans-Sasakian manifolds.
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 کاملOn Generalized Φ- Recurrent and Generalized Concircularly Φ-recurrent P-sasakian Manifolds
The object of the present paper is to study generalized φ− recurrent and generalized concircular φ− recurrent P-Sasakian manifold. AMS Mathematics Subject Classification (2010): 53B20, 53D15.
متن کامل