准里氏比尔格布鲁克、狄拉克结构和泊松准尼雅赫伊斯流形的变形

Bulletin of the Brazilian Mathematical Society, New Series Pub Date : 2024-05-24 DOI:10.1007/s00574-024-00400-z

M. do Nascimento Luiz, I. Mencattini, M. Pedroni

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引用次数: 0

摘要

我们展示了如何通过封闭的 2-form 变形泊松准尼延胡伊斯流形。然后，我们在准李氏双曲面的背景下解释这一过程，将其视为所谓准李氏双曲面扭转的一种特殊情况。最后，我们将我们的结果置于库朗梯形和狄拉克结构的环境中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Quasi-Lie Bialgebroids, Dirac Structures, and Deformations of Poisson Quasi-Nijenhuis Manifolds

We show how to deform a Poisson quasi-Nijenhuis manifold by means of a closed 2-form. Then we interpret this procedure in the context of quasi-Lie bialgebroids, as a particular case of the so called twisting of a quasi-Lie bialgebroid. Finally, we frame our result in the setting of Courant algebroids and Dirac structures.

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Bulletin of the Brazilian Mathematical Society, New Series

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