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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 123, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.123 (Mi sigma249) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Integrability and Diffeomorphisms on Target Space

Christoph Adama, Joaquin Sanchez-Guillena, Andrzej Wereszczynskib

a Department of Particle Physics, University of Santiago de Compostela, Spain
b Institute of Physics, Jagellonian University, Reymonta 4, 30-059 Krakow, Poland
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DOI: https://doi.org/10.3842/SIGMA.2007.123
Abstract: We briefly review the concepts of generalized zero curvature conditions and integrability in higher dimensions, where integrability in this context is related to the existence of infinitely many conservation laws. Under certain assumptions, it turns out that these conservation laws are, in fact, generated by a class of geometric target space transformations, namely the volume-preserving diffeomorphisms. We classify the possible conservation laws of field theories for the case of a three-dimensional target space. Further, we discuss some explicit examples.
Keywords: integrability; zero curvature; conservation laws; nonlinear field theories.
Received: October 18, 2007; in final form December 10, 2007; Published online December 20, 2007
Bibliographic databases:
Document Type: Article
MSC: 37K05; 37K30; 37K40; 58E50; 81R12; 81T10
Language: English
Citation: Christoph Adam, Joaquin Sanchez-Guillen, Andrzej Wereszczynski, “Integrability and Diffeomorphisms on Target Space”, SIGMA, 3 (2007), 123, 11 pp.
Citation in format AMSBIB
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\by Christoph Adam, Joaquin Sanchez-Guillen, Andrzej Wereszczynski
\paper Integrability and Diffeomorphisms on Target Space
\jour SIGMA
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\vol 3
\papernumber 123
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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