Journal of Nonlinear Mathematical Physics

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Volume 10, Issue 4, November 2003, Pages 424 - 430

Hk Metrics on the Diffeomorphism Group of the Circle

Authors
Adrian Constantin, B. Kolev
Corresponding Author
Adrian Constantin
Received 13 February 2003, Accepted 7 May 2003, Available Online 1 November 2003.
DOI
10.2991/jnmp.2003.10.4.1How to use a DOI?
Abstract

Each Hk inner product, k N, endows the diffeomorphism group of the circle with a Riemannian structure. For k 1 the Riemannian exponential map is a smooth local diffeomorphism and the length-minimizing property of geodesics holds.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - 4
Pages
424 - 430
Publication Date
2003/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.4.1How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - Adrian Constantin
AU  - B. Kolev
PY  - 2003
DA  - 2003/11/01
TI  - Hk Metrics on the Diffeomorphism Group of the Circle
JO  - Journal of Nonlinear Mathematical Physics
SP  - 424
EP  - 430
VL  - 10
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.4.1
DO  - 10.2991/jnmp.2003.10.4.1
ID  - Constantin2003
ER  -