| Autor: |
Yanhui Bi, Zhixiong Chen, Zhuo Chen, Maosong Xiang |
| Předmět: |
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| Zdroj: |
AIMS Mathematics; 2024, Vol. 9 Issue 5, p11007-11023, 17p |
| Abstrakt: |
Filippov n-algebroids are introduced by Grabowski and Marmo as a natural generalization of Lie algebroids. On this note, we characterized Filippov n-algebroid structures by considering certain multi-input connections, which we called Filippov connections, on the underlying vector bundle. Through this approach, we could express the n-ary bracket of any Filippov n-algebroid using a torsionfree type formula. Additionally, we transformed the generalized Jacobi identity of the Filippov nalgebroid into the Bianchi-Filippov identity. Furthermore, in the case of rank n vector bundles, we provided a characterization of linear Nambu-Poisson structures using Filippov connections. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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