We define various classes of Sobolev bundles and connections and study their
topological and analytical properties. We show that certain kinds of topologies
(which depend on the classes) are well-defined for such bundles and they are
stable with respect to the natural Sobolev topologies. We also extend the
classical Chern-Weil theory for such classes of bundles and connections.
Applications related to variational problems for the Yang-Mills functional are
also given.
Publié le : 2010-09-15
Classification:
Sobolev bundle,
topology of bundle,
Yang-Mills functional,
variational problem,
46E35,
57R22,
58E15
@article{1282913821,
author = {Isobe
,
Takeshi},
title = {Topological and analytical properties of Sobolev bundles. II. Higher dimensional cases},
journal = {Rev. Mat. Iberoamericana},
volume = {26},
number = {1},
year = {2010},
pages = { 729-798},
language = {en},
url = {http://dml.mathdoc.fr/item/1282913821}
}
Isobe
,
Takeshi. Topological and analytical properties of Sobolev bundles. II. Higher dimensional cases. Rev. Mat. Iberoamericana, Tome 26 (2010) no. 1, pp. 729-798. http://gdmltest.u-ga.fr/item/1282913821/