A+ CATEGORY SCIENTIFIC UNIT

Singularities in contact geometry

Volume 62 / 2003

Marc Chaperon 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.

Authors

  • Marc ChaperonInstitut de Mathématiques de Jussieu
    Université Paris 7
    CASE 7012, 2 place Jussieu
    F-75251 Paris Cedex 05, France
    e-mail

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