Integrability and Diffeomorphisms on Target Space

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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dc.contributor.author	Adam, C.
dc.contributor.author	Sanchez-Guillen, J.
dc.contributor.author	Wereszczynski, A.
dc.date.accessioned	2019-02-13T19:10:06Z
dc.date.available	2019-02-13T19:10:06Z
dc.date.issued	2007
dc.identifier.citation	Integrability and Diffeomorphisms on Target Space / C. Adam, J. Sanchez-Guillen, A. Wereszczynski // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 22 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 37K05; 37K30; 37K40; 58E50; 81R12; 81T10
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147213
dc.description.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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). A.W. gratefully acknowledges support from Adam Krzy˙zanowski Fund and Jagiellonian University (grant WRBW 41/07). C.A. and J.S.-G. thank MCyT (Spain) and FEDER (FPA2005-01963), and support from Xunta de Galicia (grant PGIDIT06PXIB296182PR and Conselleria de Educacion). Further, C.A. acknowledges support from the Austrian START award project FWF-Y-137-TEC and from the FWF project P161 05 NO 5 of N.J. Mauser.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Integrability and Diffeomorphisms on Target Space	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA