Integrability and Diffeomorphisms on Target Space

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dc.contributor.authorAdam, C.
dc.contributor.authorSanchez-Guillen, J.
dc.contributor.authorWereszczynski, A.
dc.date.accessioned2019-02-13T19:10:06Z
dc.date.available2019-02-13T19:10:06Z
dc.date.issued2007
dc.description.abstractWe 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.sponsorshipThis 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.identifier.citationIntegrability 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.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 37K05; 37K30; 37K40; 58E50; 81R12; 81T10
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147213
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleIntegrability and Diffeomorphisms on Target Spaceuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік