논문KCI 등재
On the symmetries of the $Sol_{3}$ Lie group
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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.
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.
참고문헌 (11)
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- G. S. Hall, "Symmetries and Curvature Structure in General Relativity", World Scientic Lecture Notes in Physics, 46 (2004), World Scientic Publishing Co., Inc
- O. Kowalski, "Generalized symmetric spaces", Lecture Notes in Mathematics, 805 (1980), Springer-Verlag
- A. Mostefaoui, "Ricci solitons of ve-dimensional solvable Lie group", PanAmer. Math. J, 29(1), pp.1~16 (2019)
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