On the group of germs of contact transformations

  • Ana Rita Martins

    Universidade de Lisboa, Portugal
  • Orlando Neto

    Universidade de Lisboa, Portugal

Abstract

We show that the germ of a contact transformation can be written in a unique way as a product , where only depends on the derivative of and the derivative of is trivial. We show that each contact transformation with trivial derivative can be constructed solving a convenient Cauchy problem.

Cite this article

Ana Rita Martins, Orlando Neto, On the group of germs of contact transformations. Port. Math. 72 (2015), no. 4, pp. 393–406

DOI 10.4171/PM/1972