Some Curvature Identities on Nearly K¨ahler Manifolds

Samser Alam; Arindam Bhattacharyya

doi:10.56424/jts.v15i01.10617

Samser Alam Department of Mathematics Jadavpur University, Kolkata-700032, India.
Arindam Bhattacharyya Department of Mathematics,Babu Banarasi Das University, Dr. Akhlesh Das Nagar, Chinhut, Lucknow, U.P.,226 028, India.

DOI: https://doi.org/10.56424/jts.v15i01.10617

Keywords: K¨ahler manifold, nearly K¨ahler manifold, con-circularly flat spaces, projectively flat spaces, Einstein manifold.

Abstract

In this paper, we have studied and obtained expressions of some curvature identities on nearly K¨ahler manifold which is con-circularly flat and projectively flat. Also, we got interesting results on 6-dimensional nearly K¨ahler manifold with an example.