Nonassociative analogs of Lie groupoids
نویسندگان
چکیده
We introduce nonassociative geometric objects generalizing naturally Lie groupoids and called (smooth) quasiloopoids loopoids. prove that the tangent bundles of smooth loopoids are canonically again (it is nontrivial in case loopoids). show also this not true if cotangent concerned. After providing a few natural constructions, we how Lie-like functor associates with skew algebroids almost discrete mechanics on can be reformulated case.
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ژورنال
عنوان ژورنال: Differential Geometry and Its Applications
سال: 2022
ISSN: ['1872-6984', '0926-2245']
DOI: https://doi.org/10.1016/j.difgeo.2022.101887