Rank 2 distributions of Monge equations: Symmetries, equivalences, ex-tensions

Authors

Ian M. Anderson, Utah State UniversityFollow
B. Kruglikov

Document Type

Article

Journal/Book Title/Conference

Advances in Mathematics

Volume

228

Issue

3

Publication Date

2011

First Page

1435

Last Page

1465

Arxiv Identifier

arXiv:0910.5946v1

Abstract

By developing the Tanaka theory for rank 2 distributions, we completely classify classical Monge equations having maximal finite-dimensional symmetry algebras with fixed (albeit arbitrary) pair of its orders. Investigation of the corresponding Tanaka algebras leads to a new Lie-Backlund theorem. We prove that all flat Monge equations are successive integrable extensions of the Hilbert-Cartan equation. Many new examples are provided.

Comments

Published by Elsevier in Advances in Mathematics. Author deposited post print in arXiv.org which is available for download through link above.

Recommended Citation

Ian Anderson, Boris Kruglikov, Rank 2 distributions of Monge equations: Symmetries, equivalences, extensions, Advances in Mathematics, Volume 228, Issue 3, 20 October 2011, Pages 1435-1465, ISSN 0001-8708, 10.1016/j.aim.2011.06.019.