Canonical frames for Gl(2)-structures

Details Canonical frames for Gl(2)-structures Canonical frames for Gl(2)-structures

2010-12-03

arxiv.org/abs/1012.0711v2

Mathematics

Differential Geometry

Scientific paper

We construct a canonical frame for an arbitrary Gl(2)-structure thus solving
the equivalence problem for Gl(2)-structures. Our treatment includes also a
problem of contact equivalence of ordinary differential equations and applies
to certain classes of vector distributions. Additionally we characterise
Gl(2)-structures which are defined by ODEs.

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