تقرير
Weak $(p,k)$-Dirac manifolds
| العنوان: | Weak $(p,k)$-Dirac manifolds |
|---|---|
| المؤلفون: | Bi, Yanhui, Chen, Zhixiong |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Mathematical Physics, Mathematics - Rings and Algebras, 17B66, 53D18 |
| الوصف: | In this paper, we introduce the notion of a weak $(p,k)$-Dirac structure in $TM\oplus \Lambda^pT^*M$, where $0\leq k \leq p-1$. The weak $(p,k)$-Lagrangian condition has more informations than the $(p,k)$-Lagrangian condition and contains the $(p,k)$-Lagrangian condition. The weak $(p,0)$-Dirac structures are exactly the higher Dirac structures of order p introduced by N. Martinez Alba and H. Bursztyn in [23] and [6], respectively. The regular weak $(p,p-1)$-Dirac structure together with $(p,p-1)$-Lagrangian subspace at each point $m\in M$ have the multisymplectic foliation. Finally, we introduce the notion of weak $(p,k)$-Dirac morphism. We give the condition that a weak $(p,k)$-Dirac manifold is also a weak $(p,k)$-Dirac manifold after pulling back. Comment: Now we feel that we haven't studied our work completely and some new results are discovered |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2302.01933 |
| رقم الأكسشن: | edsarx.2302.01933 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |