Almost conformal Ricci solituons on 3-dimensional trans-Sasakian manifold

作者：Dutta Tamalika^*; Basu Nirabhra; Bhattacharyya Arindam

来源：Hacettepe Journal of Mathematics and Statistics, 2016, 45(5): 1379-1391.

DOI：10.15672/HJMS.20164514287

• conformal Ricci soliton
• almost conformal Ricci soliton
• conformal gradient shrinking Ricci soliton
• trans-Sasakian manifold

In this paper we have shown that if a 3-dimensional trans-Sasakian manifold M admits conformal Ricci soliton (g, V, lambda) and if the vector field V is point wise collinear with the unit vector field xi then V is a constant multiple of xi. Similarly we have proved that under the same condition an almost conformal Ricci soliton becomes conformal Ricci soliton. We have also shown that if a 3-dimensional trans-Sasakian manifold admits conformal gradient shrinking Ricci soliton, then the manifold is an Einstein manifold.

• 出版日期2016-10