TY - JOUR
AU - A. Sarkar
AU - A. Sil
AU - A. K. Paul
PY - 2020/03/28
Y2 - 2022/10/07
TI - Some characterizations of three-dimensional trans-Sasakian manifolds admitting η- Ricci solitons and trans-Sasakian manifolds as Kagan subprojective space
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 72
IS - 3
SE - Short communications
DO - 10.37863/umzh.v72i3.6047
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/6047
AB - UDC 514.7The 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.
ER -