Quelques questions de géométrie symplectique
-conjugacy of holomorphic flows near a singularity
Phases génératrices en géométrie symplectique
Recent results in symplectic geometry
Singularities in contact geometry
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.
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