Singularities in contact geometry

Marc Chaperon. "Singularities in contact geometry." Banach Center Publications 62.1 (2003): 39-55. <http://eudml.org/doc/282167>.

@article{MarcChaperon2003,
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.},
author = {Marc Chaperon},
journal = {Banach Center Publications},
keywords = {contact geometry; singularities; Hamiltonian-Jacobi equations; generating functions},
language = {eng},
number = {1},
pages = {39-55},
title = {Singularities in contact geometry},
url = {http://eudml.org/doc/282167},
volume = {62},
year = {2003},
}

TY - JOUR
AU - Marc Chaperon
TI - Singularities in contact geometry
JO - Banach Center Publications
PY - 2003
VL - 62
IS - 1
SP - 39
EP - 55
AB - 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.
LA - eng
KW - contact geometry; singularities; Hamiltonian-Jacobi equations; generating functions
UR - http://eudml.org/doc/282167
ER -