Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2023
  • Volume: 15
  • Issue: 2

Disintegration of H-Projective Curvature Tensor in a Kaehlerian Recurrent Spaces

1Department of Mathematics, H.N.B. Garhwal University (A Central University), S.R.T. Campus Badshahithaul, Tehri Garhwal, Uttarakhand, India

2Department of Mathematics, H.N.B. Garhwal University (A Central University), S.R.T. Campus Badshahithaul, Tehri Garhwal, Uttarakhand, India

3Department of Mathematics, H.N.B. Garhwal University (A Central University), S.R.T. Campus Badshahithaul, Tehri Garhwal, Uttarakhand, India

4Department of Mathematics, H.N.B. Garhwal University (A Central University), S.R.T. Campus Badshahithaul, Tehri Garhwal, Uttarakhand, India

*E-mail: usnegi7@gmail.com

Online Published on 12 December, 2023.

Abstract

Negi (2018), have calculated geometrical interpretation of an analytic HP-transformations in almost Kaehlerian spaces. Also, Negi and Chauhan (2022), studied tensor structures and recurrent z-forms in Riemannian manifolds. In this paper, we have considered disintegration of recurrent and H-Projective curvature tensor in a Kaehlerian recurrent spaces of first order by considering the disintegration of curvature tensor in terms of a non-zero vector and tensor field. Also, several theorems have been derived.

Keywords

Projective tensor, Recurrent, Curvature tensor, Riemannian Space and Kaehlerian space