On the group of germs of contact transformations
Ana Rita Martins
Universidade de Lisboa, PortugalOrlando Neto
Universidade de Lisboa, Portugal
![On the group of germs of contact transformations cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-pm-volume-72-issue-4.png&w=3840&q=90)
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