The geometric properties of reduced canonically symplectic spaces with symmetry, their relationship with structures on associated principal, fiber bundles and some applications. Pt. 1

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Tytuł:: The geometric properties of reduced canonically symplectic spaces with symmetry, their relationship with structures on associated principal, fiber bundles and some applications. Pt. 1
Autorzy:: Prykarpatsky, Y.A.
Samoilenko, A.M.
Prykarpatsky, A.K.
Powiązania:: https://bibliotekanauki.pl/articles/952850.pdf
Data publikacji:: 2005
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: Hamiltonian reduction
symplectic structures
connections
principal fiber bundles
Yang-Mills type gauge fields
Źródło:: Opuscula Mathematica; 2005, 25, 2; 287-298
1232-9274
2300-6919
Język:: angielski
Prawa:: CC BY: Creative Commons Uznanie autorstwa 3.0 PL
Dostawca treści:: Biblioteka Nauki
: Artykuł

Przejdź do źródła

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 equations are presented.

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