@article{Sarkar_Sil_Paul_2020, title={Some characterizations of three-dimensional trans-Sasakian manifolds admitting η- Ricci solitons and trans-Sasakian manifolds as Kagan subprojective space}, volume={72}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/6047}, DOI={10.37863/umzh.v72i3.6047}, abstractNote={<p>UDC 514.7</p> <p>The object of the present paper is to study three-dimensional trans-Sasakian manifolds admitting $\eta$-Ricci soliton. Actually, we study such manifolds whose Ricci tensor satisfy some special conditions like cyclic parallelity, Ricci semisymmetry, $\phi$-Ricci semisymmetry, after reviewing the properties of second order parallel tensors on such manifolds. We determine the form of Riemann curvature tensor of trans-Sasakian manifolds of dimension greater than three as Kagan subprojective spaces. We also give some classification results of trans-Sasakian manifolds of dimension greater than three as Kagan subprojective spaces.</p>}, number={3}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={SarkarA. and SilA. and PaulA. K.}, year={2020}, month={Mar.}, pages={427-432} }