INVESTIGADORES
ORIGLIA Marcos Miguel
congresos y reuniones científicas
Título:
Locally conformally Symplectic structures on nilpotent Lie algebras and almost abelian Lie algebras
Autor/es:
MARCOS ORIGLIA; ADRIÁN ANDRADA
Lugar:
Petrolinas
Reunión:
Congreso; V Latin American Conference on Lie Groups and Geometry; 2014
Institución organizadora:
Universidade Federal do Vale do São Francisco
Resumen:
Locally conformally symplectic or LCS forms were introduced by Lee and Vaisman. They are non-degenerate 2-forms ω for which there exists a closed 1-form θ called the Lee form, satisfying dω = θ ∧ ω.In the first part of the talk we study LCS structures on nilpotent Lie algebras. We point out a connection between LCS structures and both contact pairs and contact geometry. We give a complete list of 6-dimensional nilpotent Lie algebras which admit LCS structures. In the second part we characterize the unimodular almost abelian Lie groups that admit left-invariant LCS structures and we study the existence of lattices in dimension 4.