Symplectic structures on low dimensional 2-step nilmanifolds

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.

arXiv admin note: substantial text overlap with arXiv:2210.12180. substantial text overlap with arXiv:2201.02258