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arXiv · 2211.05768

Symplectic structures on low dimensional 2-step nilmanifolds

Gabriela P. Ovando·Mauro Subils
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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.

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BibTeXRIS

Gabriela P. Ovando, Mauro Subils. 2022-11-10. Symplectic structures on low dimensional 2-step nilmanifolds. https://arxiv.org/abs/2211.05768

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