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- W3161673109 abstract "In this paper, the structure of higher nonabelian omni-Lie algebroid is studied. The concept of higher nonabelian omni-Lie algebroids on direct sum bundle D E ⊕ ∧ n J E is introduced, and its related properties are given. It is concluded that the Pre-Dirac structures of higher nonabelian omni-Lie algebroid and n -Lie algebroid have a one-to-one correspondence. By analyzing the matched pair of Leibniz algebroids, it is concluded that higher nonabelian omni-Lie algebroid D E ⊕ ∧ n J E can be regarded as a matched pair of two Leibniz algebroids D E and ∧ n J E . From the geometric point of view, higher nonabelian omni-Lie algebroid can be regarded as Weinstein linearization of higher analogue of Courant algebroid associated to Nambu-Poisson manifolds." @default.
- W3161673109 created "2021-05-24" @default.
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- W3161673109 date "2021-09-01" @default.
- W3161673109 modified "2023-10-12" @default.
- W3161673109 title "Higher nonabelian omni-Lie algebroids" @default.
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- W3161673109 doi "https://doi.org/10.1016/j.geomphys.2021.104277" @default.
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