On certain class of locally conformal symplectic structures of the second kind
Abstract
We study locally conformal symplectic (LCS) structures of the second kind on a Lie algebra. We show a method to build 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 representation. 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.
Keywords
Cite
@article{arxiv.1811.12266,
title = {On certain class of locally conformal symplectic structures of the second kind},
author = {Marcos Origlia},
journal= {arXiv preprint arXiv:1811.12266},
year = {2020}
}
Comments
We split the original paper into two: this is the main part and it focuses on lcs structures, while the forthcoming second part will focus on lck structures. This new version also expands previous results. Indeed, we give a converse of the main construction of the previous version. Comments are welcome!