GROUPOID ASSOCIATED TO A SMOOTH MANIFOLD
نویسندگان
چکیده مقاله:
In this paper, we introduce the structure of a groupoid associated to a vector field on a smooth manifold. We show that in the case of the $1$-dimensional manifolds, our groupoid has a smooth structure such that makes it into a Lie groupoid. Using this approach, we associated to every vector field an equivalence relation on the Lie algebra of all vector fields on the smooth manifolds.
منابع مشابه
groupoid associated to a smooth manifold
in this paper, we introduce the structure of a groupoid associated to a vector field on a smooth manifold. we show that in the case of the $1$-dimensional manifolds, our groupoid has a smooth structure such that makes it into a lie groupoid. using this approach, we associated to every vector field an equivalence relation on the lie algebra of all vector fields on the smooth...
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عنوان ژورنال
دوره 3 شماره 2
صفحات 267- 275
تاریخ انتشار 2014-12-31
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