Lengths of contact isotopies and extensions of the hofer metric

Augustin Banyaga, Paul Donato

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

Using the Hofer metric, we construct, under a certain condition, a bi-invariant distance on the identity component in the group of strictly contact diffeomorphisms of a compact regular contact manifold. We also show that the Hofer metric on Ham(M) has a right-invariant (but not left invariant) extension to the identity component in the groups of symplectic diffeomorphisms of certain symplectic manifolds.

Original languageEnglish (US)
Pages (from-to)299-312
Number of pages14
JournalAnnals of Global Analysis and Geometry
Volume30
Issue number3
DOIs
StatePublished - Oct 1 2006

All Science Journal Classification (ASJC) codes

  • Analysis
  • Political Science and International Relations
  • Geometry and Topology

Fingerprint

Dive into the research topics of 'Lengths of contact isotopies and extensions of the hofer metric'. Together they form a unique fingerprint.

Cite this