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arXiv · 1808.06525

First Occurring Singularities of Functions in Symplectic Semi-Space

Konstantinos Kourliouros·Michail Zhitomirskii
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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

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Konstantinos Kourliouros, Michail Zhitomirskii. 2018-08-20. First Occurring Singularities of Functions in Symplectic Semi-Space. https://arxiv.org/abs/1808.06525

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