Publication Cover
Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 2
101
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Curvature computations for a two-component Camassa-Holm equation with vorticity

Pages 307-323 | Received 06 Nov 2015, Accepted 15 Dec 2015, Published online: 22 Jan 2016
 

Abstract

In the present paper, a two-component Camassa-Holm (2CH) system with vorticity is studied as a geodesic flow on a suitable Lie group. The paper aims at presenting various details of the geometric formalism and a major result is the computation of the sectional curvature K of the underlying configuration manifold. As a further result, we show that there are directions for which K is strictly positive and bounded away from zero.

AMS Subject Classifications:

Notes

No potential conflict of interest was reported by the author.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.