Opuscula Math. 25, no. 2 (2005), 287-298

 
Opuscula Mathematica

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

Yarema A. Prykarpatsky
Anatoliy M. Samoilenko
Anatoliy K. Prykarpatsky

Abstract. 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.

Keywords: Hamiltonian reduction, symplectic structures, connections, principal fiber bundles, Yang-Mills type gauge fields.

Mathematics Subject Classification: 34A30, 34B05, 34B15.

Full text (pdf)

Opuscula Mathematica - cover

Cite this article as:
Yarema A. Prykarpatsky, Anatoliy M. Samoilenko, Anatoliy K. Prykarpatsky, The geometric properties of reduced canonically symplectic spaces with symmetry, their relationship with structures on associated principal fiber bundles and some applications. Part 1, Opuscula Math. 25, no. 2 (2005), 287-298

Download this article's citation as:
a .bib file (BibTeX),
a .ris file (RefMan),
a .enw file (EndNote)
or export to RefWorks.

In accordance with EU legislation we advise you this website uses cookies to allow us to see how the site is used. All data is anonymized.
All recent versions of popular browsers give users a level of control over cookies. Users can set their browsers to accept or reject all, or certain, cookies.