Title of article
GROUPOID ASSOCIATED TO A SMOOTH MANIFOLD
Author/Authors
Abbasi ، H. - Azarbaijan Shahid Madani University , HAGHIGHATDOOST ، G. A. - Azarbaijan Shahid Madani University
Pages
9
From page
267
To page
275
Abstract
In this paper, we introduce the structure of a groupoid associated to a vector eld 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 eld an equivalence relation on the Lie algebra of all vector elds on the smooth manifolds.
Keywords
Groupoid , Lie Groupoid
Journal title
Caspian Journal of Mathematical Sciences
Serial Year
2014
Journal title
Caspian Journal of Mathematical Sciences
Record number
2462082
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