Singularities in contact geometry

• Autorzy: Marc Chaperon
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 32G81: Applications to physics
• 46C20: Spaces with indefinite inner product (Kre{\u\i}n spaces, Pontryagin spaces, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 62
• Numer: 1
• Strony: 39-55

Daty

wydano

2003

Twórcy

autor

Marc Chaperon

• Institut de Mathématiques de Jussieu, Université Paris 7, CASE 7012, 2 place Jussieu, F-75251 Paris Cedex 05, France

Identyfikatory

DOI

10.4064/bc62-0-3