On a certain class of locally conformal symplectic structures of the second kind |
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Affiliation: | 1. KU Leuven Kulak Campus Kortrijk, E. Sabbelaan 53, BE-8500 Kortrijk, Belgium;2. FaMAF-CIEM, Universidad Nacional de Córdoba, X5000HUA Córdoba, Argentina |
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Abstract: | We study locally conformal symplectic (LCS) structures of the second kind on a Lie algebra. We show a method to construct new examples of Lie algebras admitting LCS structures of the second kind starting with a lower dimensional Lie algebra endowed with a LCS structure and a suitable extension. Moreover, we characterize all LCS Lie algebras obtained with our construction. Finally, we study the existence of lattices in the associated simply connected Lie groups in order to obtain compact examples of manifolds admitting this kind of structure. |
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Keywords: | Locally conformal symplectic structure Lie algebra Lie group Lattice Solvmanifold |
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