Characterization of three-dimensional Riemannian manifolds with a type of semi-symmetric metric connection admitting Yamabe soliton

JOURNAL OF GEOMETRY AND PHYSICS

卷:157

Article

Chaubey, Sudhakar K.¹  De, Uday Chand² 

[1] Shinas Coll Technol, Dept Informat Technol, Sect Math, POB 77, Shinas 324, Oman

[2] Univ Calcutta, Dept Math, Kolkata, W Bengal, India

关键词: Riemannian manifolds;    Yamabe solitons;    Semi-symmetric metric connection;    Conformal vector field;   

DOI  :  10.1016/j.geomphys.2020.103846

来源: Elsevier

【 摘 要 】

We characterize the three-dimensional Riemannian manifolds equipped with a semi-symmetric metric rho-connection under the assumption that the Riemannian metric is a Yamabe soliton. It is shown that a three-dimensional Riemannian manifold endowed with a semi-symmetric rho-connection, whose metric is Yamabe soliton, is a manifold of constant sectional curvature -1 and the Yamabe soliton is expanding with soliton constant -6. Finally, we give an example of a three-dimensional Riemannian manifold and validate our findings. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free