Z-TENSOR ON THREE DIMENSIONAL TRANS-PARA-SASAKIAN MANIFOLD
By
H. G. Nagaraja and R. Yashaswini
Department of Mathematics, Bangalore University, Jnana Bharathi Campus, Bangalore, Karnataka, India-560056.
Email: hgnraj@yahoo.com, yashaswinir12@gmail.com
(Received: February 10, 2025; In format: March 22, 2025; Revised: November 26, 2025; Accepted: November 30, 2025)
DOI: https://doi.org/10.58250/jnanabha.2025.55222
Abstract
This article attempts to give classification of trans-para-Sasakian manifold M as a para-Sasakian or para-cosymplectic or a manifold of constant curvature or an Einstein manifold. The methods used are based on cyclic parallel, codazzi type and semisymmetric restrictions on Z-tensor of trans-para-Sasakian manifold. We conclude with an example which verifies some of the proved results.
2020 Mathematical Sciences Classification: 53C25, 53C20, 53C21.
Keywords and Phrases: Trans-para-Sasakian manifold, Z-tensor, codazzi type, cyclic parallel tensor.