On the symmetries of the Sol3 Lie group
J. Korean Math. Soc.
Published online August 23, 2019
Lakehal Belarbi
University of Mostaganem
Abstract : In this work we consider the $Sol_{3}$ Lie group, equipped with the left-invariant metric, Lorentzian or Riemannian. We determine Killing vector fields and affine vectors fields. Also we obtain a full classification of Ricci, curvature and matter collineations.
Keywords : Lorentzian $Sol_{3}$ group, Killing vector fields, Affine vector fields, Ricci collineations, Curvature collineations, matter collineations.
MSC numbers : 53C50, 53B30
Full-Text :


Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd