2022/11/10 by Gabriela P. Ovando, Ovando, Gabriela P., Mauro Subils +1 · 1 citation
Mathematics · #22E25 #53D05 #57T15 #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.2211.05768
openalex publication_date 2022/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.