Integrable systems in n-dimensional conformal geometry

Sanders, Jan A., Wang, Jing Ping (2006) Integrable systems in n-dimensional conformal geometry. Journal of Difference Equations and Applications, 12 (10). pp. 983-995. ISSN 1563-5120 (electronic) 1023-6198 (paper). (doi:10.1080/10236190600986784) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:8794)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL: http://dx.doi.org/10.1080/10236190600986784

Abstract

In this paper we show that if we write down the structure equations for the flow of the parallel frame of a curve embedded in a flat n-dimensional conformal manifold, this leads to two compatible Hamiltonian operators. The corresponding integrable scalar-vector equation is where is the standard Euclidean inner product of the vector with itself. These results are similar to those we obtained in the Riemannian case, implying that the method employed is well suited for the analysis of the connection between geometry and integrability.

Item Type:	Article
DOI/Identification number:	10.1080/10236190600986784
Uncontrolled keywords:	Standard Euclidean; Riemannian case; Hamiltonian operator; Hasimoto transformation
Subjects:	Q Science > QA Mathematics (inc Computing science)
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Jing Ping Wang
Date Deposited:	23 Sep 2008 12:39 UTC
Last Modified:	16 Nov 2021 09:46 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/8794 (The current URI for this page, for reference purposes)

University of Kent Author Information

Wang, Jing Ping.

Creator's ORCID:	https://orcid.org/0000-0002-6874-5629
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