On indefinite η-Einstein Sasakian manifold

Abstract

This present paper is to study on indefinite η-Einstein Sasakian manifold which is introduced with an example. Here some properties of indefinite η-Einstein Sasakian manifold have been studied.

Solitonic View of Generic Contact CR-Submanifolds of Sasakian Manifolds with Concurrent Vector Fields

“…In 1981, CR-submanifolds of Sasakian manifolds were studied by Kobayashi [5]. Later, in the context of indefinite Sasakian manifolds, contact CR-submanifolds were studied by Tarafdar et al in [6]. Thus, in this present work we extend the study of the generic contact CR-submanifold as an exceptional category of generic submanifolds.…”

ON THE PSEUDO-QUASI-CONFORMAL CURVATURE TENSOR OF P-SASAKIAN MANIFOLDS Vol. 5(2) July 2017, No. 15, pp. 147-155 D. G. PRAKASHA, T. R. SHIVAMURTHY AND KAKASAB MIRJI

“…This structure is an analogy of Sasakian manifold in paracontact geometry. Para-Sasakian (briefly, P-Sasakian) and special para-Sasakian (briefly, SP-Sasakian) manifolds were studied by many authors such as Tarafdar and De [14], De and Pathak [6], Matsumoto [9], Mandal and De [8], Prakasha [10], Barman [4] and others.…”