groupoid associated to a smooth manifold
نویسندگان
چکیده
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:
caspian journal of mathematical sciencesناشر: university of mazandaran
ISSN 1735-0611
دوره 3
شماره 2 2014
کلمات کلیدی
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