Geodesic
The symmetry reduction of variational integrals, complement
Mathematica Bohemica, Tome 143 (2018) no. 4, pp. 431-439

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.21136/MB.2018.0111-17
Classification : 49N99, 49S05, 70H03
Keywords: Lagrange variational problem; Poincaré-Cartan form; symmetry reduction 
@article{10_21136_MB_2018_0111_17,
     author = {Chrastinov\'a, Veronika and Tryhuk, V\'aclav},
     title = {The symmetry reduction of variational integrals, complement},
     journal = {Mathematica Bohemica},
     pages = {431--439},
     publisher = {mathdoc},
     volume = {143},
     number = {4},
     year = {2018},
     doi = {10.21136/MB.2018.0111-17},
     mrnumber = {3895266},
     zbl = {06997376},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2018.0111-17/}
}
TY  - JOUR
AU  - Chrastinová, Veronika
AU  - Tryhuk, Václav
TI  - The symmetry reduction of variational integrals, complement
JO  - Mathematica Bohemica
PY  - 2018
SP  - 431
EP  - 439
VL  - 143
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2018.0111-17/
DO  - 10.21136/MB.2018.0111-17
LA  - en
ID  - 10_21136_MB_2018_0111_17
ER  - 
%0 Journal Article
%A Chrastinová, Veronika
%A Tryhuk, Václav
%T The symmetry reduction of variational integrals, complement
%J Mathematica Bohemica
%D 2018
%P 431-439
%V 143
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2018.0111-17/
%R 10.21136/MB.2018.0111-17
%G en
%F 10_21136_MB_2018_0111_17
Chrastinová, Veronika; Tryhuk, Václav. The symmetry reduction of variational integrals, complement. Mathematica Bohemica, Tome 143 (2018) no. 4, pp. 431-439. doi: 10.21136/MB.2018.0111-17

Cité par Sources :