TY  - JOUR
ID  - Prykarpatsky2005
LB  - Prykarpatsky2005
AU  - Prykarpatsky, Yarema A.
AU  - Samoilenko, Anatoliy M.
AU  - Prykarpatsky, Anatoliy K.
TI  - The geometric properties of reduced canonically symplectic spaces with symmetry, their relationship with structures on associated principal fiber bundles and some applications. Part 1
ST  - The geometric properties of reduced canonically symplectic spaces with symmetry, their relationship with structures on associated principal fiber bundles and some applications. Part 1
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2005
VL  - 25
IS  - 2
SP  - 287
EP  - 298
DO  - http://dx.doi.org/10.7494/OpMath.2005.25.2.287
UR  - http://dx.doi.org/10.7494/OpMath.2005.25.2.287
AB  - The canonical reduction method on canonically symplectic manifolds is analized in detail, the relationships with the geometric properties of associated principal fiber bundles endowed with connection structures are stated. Some results devoted to studying geometrical properties of nonabelian Yang-Mills type gauge field quations are presented.
KW  - Hamiltonian reduction
KW  - symplectic structures
KW  - connections
KW  - principal fiber bundles
KW  - Yang-Mills type gauge fields
SN  - 1232-9274
ER  -