On a generalized class of recurrent manifolds

Absos Ali Shaikh and Ananta Patra

Address: Department of Mathematics, University of Burdwan Golapbag, Burdwan-713104, West Bengal, India

E-mail: aask2003@yahoo.co.in

Abstract: The object of the present paper is to introduce a non-flat Riemannian manifold called hyper-generalized recurrent manifolds and study its various geometric properties along with the existence of a proper example.

AMSclassification: primary 53B35; secondary 53B50.

Keywords: recurrent, generalized recurrent, conharmonically recurrent, hyper-generalized recurrent, generalized conharmonically recurrent, generalized Ricci recurrent manifold.