Singularities in contact geometry
Volume 62 / 2003
Banach Center Publications 62 (2003), 39-55
MSC: Primary 46C20; Secondary 32G81
DOI: 10.4064/bc62-0-3
Abstract
In the first half of the paper, we consider singularities of infinitesimal contact transformations and first order partial differential equations, the main results being related to the classical Sternberg-Chen theorem for hyperbolic germs of vector fields. The second half explains how to construct global generating phase functions for solutions of Hamilton-Jacobi equations and see what their singularities look like.
