Finite-dimensionality in Tanaka theory
Differential Geometry
2015-05-18 v2 Classical Analysis and ODEs
Abstract
In this paper we extend the Tanaka finiteness theorem and inequality for the number of symmetries to arbitrary distributions (differential systems) and provide several applications.
Keywords
Cite
@article{arxiv.1002.0803,
title = {Finite-dimensionality in Tanaka theory},
author = {Boris Kruglikov},
journal= {arXiv preprint arXiv:1002.0803},
year = {2015}
}
Comments
In this version I extend the last section by including a description of all rank 2 and 3 distributions with infinite-dimensional symmetry algebra. The second proof of Theorem 1 for semi-strongly regular case is omitted in this version (as excessive), but it is valid/accessible through version 1.