Mathematica Bohemica, Vol. 143, No. 4, pp. 431-439, 2018
The symmetry reduction of variational integrals, complement
Veronika Chrastinová, Václav Tryhuk
Received October 4, 2017. Published online April 17, 2018.
Abstract: Some open problems appearing in the primary article on the symmetry reduction are solved. A new and quite simple coordinate-free definition of Poincaré-Cartan forms and the substance of divergence symmetries (quasisymmetries) are clarified. The unbeliavable uniqueness and therefore the global existence of Poincaré-Cartan forms without any uncertain multipliers for the Lagrange variational problems are worth extra mentioning.
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Affiliations: Veronika Chrastinová, Brno University of Technology, Faculty of Civil Engineering, Department of Mathematics, Veveři 331/95, 602 00 Brno, Czech Republic, e-mail: chrastinova.v@fce.vutbr.cz; Václav Tryhuk, Brno University of Technology, Faculty of Civil Engineering, AdMaS centre, Purkyňova 139, 612 00 Brno, Czech Republic, e-mail: tryhuk.v@fce.vutbr.cz, tryhuk.v@outlook.com
