Canonical frames for Gl(2)-structures

2010/12/03 by Wojciech Kryński, Krynski, Wojciech
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.1012.0711

openalex publication_date 2010/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Canonical frames for distributions of odd rank and corank 2 with maximal first Kronecker index

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