From n-systems to Lie and Courant algebroids
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915650978447360 |
|---|---|
| author | Cai, Liqiang Chen, Zhuo Chen, Zhixiong Bi, Yanhui |
| author_facet | Cai, Liqiang Chen, Zhuo Chen, Zhixiong Bi, Yanhui |
| contents | This paper introduces a method for constructing pure algebroids, dull algebroids, and Lie algebroids. The construction relies on what we deffned as n-systems on vector bundles, and we provide explicit computations for all resulting structure maps. Analogously, metric n-systems deffned on metric vector bundles allow us to construct metric algebroids, pre-Courant algebroids, and Courant algebroids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_03391 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | From n-systems to Lie and Courant algebroids Cai, Liqiang Chen, Zhuo Chen, Zhixiong Bi, Yanhui Differential Geometry Rings and Algebras This paper introduces a method for constructing pure algebroids, dull algebroids, and Lie algebroids. The construction relies on what we deffned as n-systems on vector bundles, and we provide explicit computations for all resulting structure maps. Analogously, metric n-systems deffned on metric vector bundles allow us to construct metric algebroids, pre-Courant algebroids, and Courant algebroids. |
| title | From n-systems to Lie and Courant algebroids |
| topic | Differential Geometry Rings and Algebras |
| url | https://arxiv.org/abs/2512.03391 |