H-k metrics on the diffeomorphism group of the circle

Research output: Contribution to journalArticle

Abstract

Each H-k inner product, kis an element ofN, endows the diffeomorphism group of the circle with a Riemannian structure. For kgreater than or equal to1 the Riemannian exponential map is a smooth local diffeomorphism and the length-minimizing property of geodesics holds.

Details

Authors
  • Adrian Constantin
  • B Kolev
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics
Original languageEnglish
Pages (from-to)424-430
JournalJournal of Nonlinear Mathematical Physics
Volume10
Issue number4
Publication statusPublished - 2003
Publication categoryResearch
Peer-reviewedYes