Reducing smooth functions to normal forms near critical points
Differential Geometry
2022-06-02 v1
Abstract
The paper is devoted to "uniform" reduction of smooth functions on 2-manifolds to canonical form near critical points by some coordinate changes in some neighbourhoods of these points. For singularity types and , we explicitly construct such coordinate changes and estimate from below (in terms of -norm of the function) the radius of a required neighbourhood.
Cite
@article{arxiv.2206.00628,
title = {Reducing smooth functions to normal forms near critical points},
author = {A. S. Orevkova},
journal= {arXiv preprint arXiv:2206.00628},
year = {2022}
}