H-k metrics on the diffeomorphism group of the circle

Adrian Constantin, B Kolev

Research output: Contribution to journalArticlepeer-review

3 Citations (SciVal)

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.
Original languageEnglish
Pages (from-to)424-430
JournalJournal of Nonlinear Mathematical Physics
Volume10
Issue number4
DOIs
Publication statusPublished - 2003

Subject classification (UKÄ)

  • Mathematics

Fingerprint

Dive into the research topics of 'H-k metrics on the diffeomorphism group of the circle'. Together they form a unique fingerprint.

Cite this