H-k metrics on the diffeomorphism group of the circle
(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:
https://lup.lub.lu.se/record/296438
- author
- Constantin, Adrian LU and Kolev, B
- organization
- publishing date
- 2003
- 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}}, }