Title of article :
On Lie Groups with Recurrent Curvature in Dimension Four
Author/Authors :
Bastami ، Milad Department of Mathematics - Basic Sciences Faculty - University of Bonab , Zaeim ، Amirhesam Department of Mathematics - Payame Noor University , Haji-Badali ، Ali Department of Mathematics - Basic Sciences Faculty - University of Bonab
Abstract :
In this paper, we give a full classification of pseudo-Riemannian Lie groups of dimension four with non-trivial recurrent curvature tensor (i.e., non-locally symmetric). Then we investigate Ricci solitons on recurrent curvature Lie groups. Locally conformally flat examples of our classification have also been presented.
Keywords :
Curvature tensor , Lie group , Invariant metric , Recurrent curvature tensor , Ricci soliton ,
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
