RT Journal Article
T1 Integrability and Dif feomorphisms on Target Space
A1 Adam, Christoph
A1 Sánchez Guillén, Joaquín
A1 Wereszczynski, Andrzej
K1 Integrability
K1 Zero curvature
K1 Conservation laws
K1 Nonlinear field theories
AB We briefly review the concepts of generalized zero curvature conditions and integrability in higher dimensions, where integrability in this context is related to the existenceof infinitely many conservation laws. Under certain assumptions, it turns out that theseconservation laws are, in fact, generated by a class of geometric target space transformations, namely the volume-preserving dif feomorphisms. We classify the possible conservationlaws of field theories for the case of a three-dimensional target space. Further, we discusssome explicit examples
PB National Academy of Science of Ukraine
SN 1815-0659
YR 2007
FD 2007
LK http://hdl.handle.net/10347/22882
UL http://hdl.handle.net/10347/22882
LA eng
NO Adam, C., Sanchez-Guillen, J., & Wereszczynski, A. (2007). Integrability and Diffeomorphisms on Target Space. Symmetry, Integrability and Geometry: Methods and Applications. 3 (2007), 123, 11 pages
NO A.W. gratefully acknowledges support from Adam Krzyzanowski 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 Conselleriade Educacion). Further, C.A. acknowledges support from the Austrian START award projectFWF-Y-137-TEC and from the FWF project P161 05 NO 5 of N.J. Mauser
DS Minerva
RD 29 abr 2026