Structure of locally conformally symplectic Lie algebras and solvmanifolds

  1. Danielle Angella 1
  2. Giovanni Bazzoni 2
  3. Maurizio Parton 3
  1. 1 Università degli Studi di Firence
  2. 2 Philipps-Universität Marburg, Germany
  3. 3 Università di Chieti-Pescara, Italia
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Journal:
Annali della Scuola Normale Superiore di Pisa. Classe di scienze

ISSN: 0391-173X

Year of publication: 2020

Volume: 20

Issue: 1

Pages: 373-411

Type: Article

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Abstract

We obtain structure results for locally conformally symplectic Lie algebras. We classify locally conformally symplectic structures on four-dimensional Lie algebras and construct locally conformally symplectic structures on compact quotients of all four-dimensional connected and simply connected solvable Lie groups.

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