论文标题

低维2步中的符号结构Nilmanifolds

Symplectic structures on low dimensional 2-step nilmanifolds

论文作者

Ovando, Gabriela P., Subils, Mauro

论文摘要

这项工作的目的是研究2步尼尔曼福尔德的同骨结构。我们集中于接近度的条件,证明存在封闭的2型II型的存在是获得符号结构的必要条件。在低维度中,在大多数情况下,这种情况就足够了。

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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