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- W144387994 abstract "We study the geometry of a family of Lie groups, which contained the classical affine Lie groups, endowed with an exact left invariant symplectic form. We show that this family is closed by symplectic reduction and symplectic double extension in the sense of Dardi'{e} and Medina. We prouve also that these groups are endowed with two transverse left invariant Lagrangian (resp. Symplectic) foliations. This implies that these groups admit a left invariant torsion free symplectic connection." @default.
- W144387994 created "2016-06-24" @default.
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- W144387994 date "2005-06-18" @default.
- W144387994 modified "2023-09-25" @default.
- W144387994 title "Geometry of Certain Lie-Frobenius Groups" @default.
- W144387994 hasPublicationYear "2005" @default.
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