recurrent manifold
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2018 ◽  
Vol 85 (3-4) ◽  
pp. 449
Author(s):  
J. P. Singh ◽  
C. Lalmalsawma

<p>The object of the present paper is to study generalized pseudo-projectively recurrent manifolds. Some geometric properties of generalized pseudo-projectively recurrent manifolds have been studied under certain curvature conditions. Finally the existence of generalized pseudo-projectively recurrent manifold is shown by examples.</p>


Author(s):  
Uday Chand De ◽  
Prajjwal Pal

AbstractThe purpose of the present paper is to study generalized M-projectively recurrent manifolds. Some geometric properties of generalized M projectively recurrent manifolds have been studied under certain curvature conditions. An application of such a manifold in the theory of relativity has also been shown. Finally, we give an example of a generalized M-projectively recurrent manifold.


2009 ◽  
Vol 46 (2) ◽  
pp. 287-296
Author(s):  
U. De ◽  
A. Kalam Gazi

In this paper we study a new type of Riemannian manifold called generalized concircularly recurrent manifold. We obtain a necessary and sufficient condition for the constant scalar curvature of such a manifold. Next we study Ricci symmetric generalized concircularly recurrent manifold and prove that such a manifold is an Einstein manifold. Finally, we obtain a sufficient condition for a generalized concircularly recurrent manifold to be a special quasi-Einstein manifold.


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