1
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
2
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
Abstract
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.
Abbasi, H. &., & HAGHIGHATDOOST, G. &. (2014). GROUPOID ASSOCIATED TO A SMOOTH MANIFOLD. Caspian Journal of Mathematical Sciences (CJMS), 3(2), 267-275.
MLA
H. Abbasi; G. A. HAGHIGHATDOOST. "GROUPOID ASSOCIATED TO A SMOOTH MANIFOLD". Caspian Journal of Mathematical Sciences (CJMS), 3, 2, 2014, 267-275.
HARVARD
Abbasi, H. &., HAGHIGHATDOOST, G. &. (2014). 'GROUPOID ASSOCIATED TO A SMOOTH MANIFOLD', Caspian Journal of Mathematical Sciences (CJMS), 3(2), pp. 267-275.
VANCOUVER
Abbasi, H. &., HAGHIGHATDOOST, G. &. GROUPOID ASSOCIATED TO A SMOOTH MANIFOLD. Caspian Journal of Mathematical Sciences (CJMS), 2014; 3(2): 267-275.
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