RT Book, Section
T1 Multidimensional Euler-Poincaré equations
A1 Castrillón López, Marco
A1 García Pérez, P.L.
A2 Kowalski, Oldřich
A2 Krupka, Demeter
A2 Slovák, Jan
AB This work is devoted to presenting a summary of results developed mainly by the first author, T. S. Ratiu and S. Shkoller in their previous work [Proc. Amer. Math. Soc. 128 (2000), no. 7, 2155–2164;].    The main results concern the reduction of a Lagrangian field theory under a group of symmetries, obtaining the analog of the Euler-Poincaré equations, which are also proved to be equivalent to a Noether conservation law given by the symmetry. Furthermore, the compatibility condition needed for obtaining solutions of the original variational problem starting from the solutions of the reduced system is also stated. A final example is given.    The paper is written in geometrical language.
PB Silesian University at Opava
SN 80-7248-166-5
YR 2001
FD 2001
LK https://hdl.handle.net/20.500.14352/60803
UL https://hdl.handle.net/20.500.14352/60803
NO Proceedings of the 8th International Conference held in Opava, August 27–31, 2001.
DS Docta Complutense
RD 10 abr 2025