info:eu-repo/semantics/article
Vaisman solvmanifolds and relations with other geometric structures
Fecha
2020-02Registro en:
Andrada, Adrián Marcelo; Origlia, Marcos Miguel; Vaisman solvmanifolds and relations with other geometric structures; International Press Boston; Asian Journal of Mathematics; 24; 1; 2-2020; 117-146
1093-6106
1945-0036
CONICET Digital
CONICET
Autor
Andrada, Adrián Marcelo
Origlia, Marcos Miguel
Resumen
We characterize unimodular solvable Lie algebras with Vaisman structures in terms of Kahler flat Lie algebras equipped with a suitable derivation. Using this characterization we obtain algebraic restrictions for the existence of Vaisman structures and we establish some relations with other geometric notions, such as Sasakian, coKahler and left-symmetric algebra structures. Applying these results we construct families of Lie algebras and Lie groups admitting a Vaisman structure and we show the existence of lattices in some of these families, obtaining in this way many examples of new solvmanifolds equipped with invariant Vaisman structures.