Singular Bundles with Bounded L2-Curvatures
Kessel, Thiemo ; Rivière, Tristan
Bollettino dell'Unione Matematica Italiana, Tome 1 (2008), p. 881-901 / Harvested from Biblioteca Digitale Italiana di Matematica
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We consider calculus of variations of the Yang-Mills functional in dimensions larger than the critical dimension 4. We explain how this naturally leads to a class of - a priori not well-defined - singular bundles including possibly "almost everywhere singular bundles". In order to overcome this difficulty, we suggest a suitable new framework, namely the notion of singular bundles with bounded L2-curvatures.

Publié le : 2008-10-01
@article{BUMI_2008_9_1_3_881_0,
     author = {Thiemo Kessel and Tristan Rivi\`ere},
     title = {Singular Bundles with Bounded $L^2$-Curvatures},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {1},
     year = {2008},
     pages = {881-901},
     zbl = {1197.58005},
     mrnumber = {2455351},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2008_9_1_3_881_0}
}

Kessel, Thiemo; Rivière, Tristan. Singular Bundles with Bounded $L^2$-Curvatures. Bollettino dell'Unione Matematica Italiana, Tome 1 (2008) pp. 881-901. http://gdmltest.u-ga.fr/item/BUMI_2008_9_1_3_881_0/

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