Projective structure and integrable geodesic flows on the extension of Bott-Virasoro group

Partha Guha

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-16

Abstract:

This is a sequel to our paper (Lett. Math. Phys. (2000)), triggered from a question posed by Marcel, Ovsienko, and Roger in their paper (1997). In this paper, we show that the multicomponent (or vector) Ito equation, modified dispersive water wave equation, and modified dispersionless long wave equation are the geodesic flows with respect to an L 2 metric on the semidirect product space Diff s ( S 1 ) ⋉ C ∞ ( S 1 ) k ˆ , where Diff s ( S 1 ) is the group of orientation preserving Sobolev H s diffeomorphisms of the circle. We also study the projective structure associated with the matrix Sturm-Liouville operators on the circle.

Date: 2004
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2004/363282.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2004/363282.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:363282

DOI: 10.1155/S0161171204406553

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().