Symplectic structures on low dimensional 2-step nilmanifolds
Symplectic Geometry
2023-11-29 v2 Differential Geometry
Abstract
The aim of this work is the study of symplectic structures on 2-step nilmanifolds. We concentrate in the closeness condition, proving that the existence of a closed 2-form of type II is necessary to get a symplectic structure. In low dimensions, this condition is sufficient in most cases.
Cite
@article{arxiv.2211.05768,
title = {Symplectic structures on low dimensional 2-step nilmanifolds},
author = {Gabriela P. Ovando and Mauro Subils},
journal= {arXiv preprint arXiv:2211.05768},
year = {2023}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2210.12180. substantial text overlap with arXiv:2201.02258