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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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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.
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참고문헌 (11)
참고문헌 신청
W. Batat / On the symmetries of the Heisenberg group
G. Calvaruso / 2015 / Invariant symmetries on non-reductive homogeneous pseudo-Riemannian four-manifolds / Rev. Mat. Complut 28(3):599~622
G. Calvaruso / 2016 / Symmetries of Lorentzian three-manifolds with recurrent curvature / SIGMA Symmetry Integrability Geom. Methods Appl. 12:12
G. Calvaruso / 2017 / On the symmetries of the Lorentzian oscillator group / Collect. Math 68(1):51~67
E. Calvino-Louzao / 2015 / Invariant Ricci collineations on three-dimensional Lie groups / J. Geom. Phys 96:59~71
G. Calvaruso / 2015 / Invariant symmetries on non-reductive homogeneous pseudo-Riemannian four-manifolds / Rev. Mat. Complut 28(3):599~622
G. Calvaruso / 2016 / Symmetries of Lorentzian three-manifolds with recurrent curvature / SIGMA Symmetry Integrability Geom. Methods Appl. 12:12
G. Calvaruso / 2017 / On the symmetries of the Lorentzian oscillator group / Collect. Math 68(1):51~67
E. Calvino-Louzao / 2015 / Invariant Ricci collineations on three-dimensional Lie groups / J. Geom. Phys 96:59~71
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