×

zbMATH — the first resource for mathematics

Energy gaps for \(p\)-Yang-Mills fields over compact Riemannian manifolds. (English) Zbl 1408.58011
The main purpose of the present paper is to obtain a Simons-type inequality for \(p\)-Yang-Mills fields over an oriented compact manifold without boundary. Next, the author establishes some \(L^r\)-energy gaps of \(p\)-Yang-Mills fields. The problem of energy gaps for \(p\)-Yang-Mills fields over complete noncompact Riemannian manifolds remains open.
MSC:
58E15 Variational problems concerning extremal problems in several variables; Yang-Mills functionals
58E20 Harmonic maps, etc.
PDF BibTeX XML Cite
Full Text: DOI Euclid