First Occurring Singularities of Functions in Symplectic Semi-Space
Symplectic Geometry
2018-08-21 v1
Abstract
We explain how a classical theorem by Arnol'd and Melrose on non-singular functions on a symplectic manifold with boundary can be proved in few lines, and we use the same method to obtain a new result, which is a normal form with functional invariants for the first occurring singularities
Keywords
Cite
@article{arxiv.1808.06525,
title = {First Occurring Singularities of Functions in Symplectic Semi-Space},
author = {Konstantinos Kourliouros and Michail Zhitomirskii},
journal= {arXiv preprint arXiv:1808.06525},
year = {2018}
}