Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

H-k metrics on the diffeomorphism group of the circle

Constantin, Adrian LU and Kolev, B (2003) In Journal of Nonlinear Mathematical Physics 10(4). p.424-430
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.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Nonlinear Mathematical Physics
volume
10
issue
4
pages
424 - 430
publisher
Taylor & Francis
external identifiers
  • wos:000186322200001
  • scopus:0242338555
ISSN
1402-9251
DOI
10.2991/jnmp.2003.10.4.1
language
English
LU publication?
yes
id
6882d33b-4e10-4d23-8cd6-8a9927e964ac (old id 296438)
date added to LUP
2016-04-01 16:48:51
date last changed
2022-01-28 22:23:06
@article{6882d33b-4e10-4d23-8cd6-8a9927e964ac,
  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.}},
  author       = {{Constantin, Adrian and Kolev, B}},
  issn         = {{1402-9251}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{424--430}},
  publisher    = {{Taylor & Francis}},
  series       = {{Journal of Nonlinear Mathematical Physics}},
  title        = {{H-k metrics on the diffeomorphism group of the circle}},
  url          = {{http://dx.doi.org/10.2991/jnmp.2003.10.4.1}},
  doi          = {{10.2991/jnmp.2003.10.4.1}},
  volume       = {{10}},
  year         = {{2003}},
}