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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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  11. A. Mostefaoui, "Ricci solitons of ve-dimensional solvable Lie group", PanAmer. Math. J, 29(1), pp.1~16 (2019)

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