On a certain class of locally conformal symplectic structures of the second kind

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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.

Original languageEnglish
Article number101586
Number of pages15
JournalDifferential Geometry and Its Applications
Volume68
DOIs
Publication statusPublished - Feb 2020
Externally publishedYes

Keywords

  • Lattice
  • Lie algebra
  • Lie group
  • Locally conformal symplectic structure
  • Solvmanifold

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