Journal of Nonlinear Mathematical Physics

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Volume 8, Issue 3, August 2001, Pages 325 - 341

Volume Preserving Multidimensional Integrable Systems and Nambu­Poisson Geometry

Authors
Partha Guha
Corresponding Author
Partha Guha
Received 14 June 2000, Revised 12 March 2001, Accepted 24 March 2001, Available Online 1 August 2001.
DOI
10.2991/jnmp.2001.8.3.2How to use a DOI?
Abstract

In this paper we study generalized classes of volume preserving multidimensional intgrable systems via Nambu­Poisson mechanics. These integrable systems belong to the same class of dispersionless KP type equation. Hence they bear a close resemblance to the self dual Einstein equation. All these dispersionless KP and dToda type equtions can be studied via twistor geometry, by using the method of Gindikin's pencil of two forms. Following this approach we study the twistor construction of our volume preserving systems. Dedicated to the memory of Dr. B C Guha

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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<Previous Article In Issue
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
8 - 3
Pages
325 - 341
Publication Date
2001/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2001.8.3.2How 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  - Partha Guha
PY  - 2001
DA  - 2001/08/01
TI  - Volume Preserving Multidimensional Integrable Systems and Nambu­Poisson Geometry
JO  - Journal of Nonlinear Mathematical Physics
SP  - 325
EP  - 341
VL  - 8
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.3.2
DO  - 10.2991/jnmp.2001.8.3.2
ID  - Guha2001
ER  -