Quasi-Lie bialgebroids, Dirac structures and deformations of Poisson quasi-Nijenhuis manifolds

التفاصيل البيبلوغرافية
العنوان: Quasi-Lie bialgebroids, Dirac structures and deformations of Poisson quasi-Nijenhuis manifolds
المؤلفون: Luiz, Murilo do Nascimento, Mencattini, Igor, Pedroni, Marco
المصدر: Bulletin of the Brazilian Mathematical Society, New Series, Volume 55, article number 26, (2024)
سنة النشر: 2023
المجموعة: Mathematics
Mathematical Physics
مصطلحات موضوعية: Mathematics - Differential Geometry, Mathematical Physics
الوصف: 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.
Comment: 17 pages
نوع الوثيقة: Working Paper
DOI: 10.1007/s00574-024-00400-z
URL الوصول: http://arxiv.org/abs/2312.17541
رقم الأكسشن: edsarx.2312.17541
قاعدة البيانات: arXiv
الوصف
DOI:10.1007/s00574-024-00400-z