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Involutive distributions and dynamical systems of second-order type

Authors :
Mestdag, T.
Crampin, M.
Source :
Diff Geom Appl 29 (2011) 747 - 757
Publication Year :
2011

Abstract

We investigate the existence of coordinate transformations which bring a given vector field on a manifold equipped with an involutive distribution into the form of a second-order differential equation field with parameters. We define associated connections and we give a coordinate-independent criterion for determining whether the vector field is of quadratic type. Further, we investigate the underlying global bundle structure of the manifold under consideration, induced by the vector field and the involutive distribution.<br />Comment: 18 pages

Details

Database :
arXiv
Journal :
Diff Geom Appl 29 (2011) 747 - 757
Publication Type :
Report
Accession number :
edsarx.1103.2935
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.difgeo.2011.08.003