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Ali Haji-Badali

Ali Haji-Badali

Academic rank: Professor
ORCID: 0000-0001-5309-5902
Education: PhD.
ScopusId: 24466165500
HIndex: 10/00
Faculty: Faculty of Basic Sciences
Address: Faculty of Bsic Sciences, University of Bonab
Phone: 0416181-1642

Research

Title
On Lie Groups with Recurrent Curvature in Dimension Four
Type
JournalPaper
Keywords
Curvature tensor Lie group, Invariant metric, Recurrent curvature tensor Ricci soliton
Year
2021
Journal Bulletin of the Iranian Mathematical Society
DOI
Researchers Milad Bastami ، Amirhesam Zaeim ، Ali Haji-Badali

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.