scientific article

zbMath0518.53039MaRDI QIDQ3667546

Józef Dodziuk, Maung Min-Oo

Publication date: 1982

Full work available at URL: http://www.numdam.org/item?id=CM_1982__47_2_165_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

isoperimetric inequalityself-dual connectionsconnection in a principal bundleYang-Mills equationsWeitzenboeck formula

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Differential complexes (58J10) Connections (general theory) (53C05)

Related Items (11)

Energy gaps for Yang-Mills fields ⋮ The analysis of inhomogeneous Yang–Mills connections on closed Riemannian manifold ⋮ Energy gap for Yang-Mills connections. I: Four-dimensional closed Riemannian manifolds ⋮ A conformally invariant gap theorem in Yang-Mills theory ⋮ An energy gap for complex Yang-Mills equations ⋮ \(L^2\) harmonic forms on complete special holonomy manifolds ⋮ \(L^2\)-isolation phenomenon for complete surfaces arising from Yang-Mills theory ⋮ Inequalities of Simons type and gaps for Yang-Mills fields ⋮ Energy gap for Yang-Mills connections. II: Arbitrary closed Riemannian manifolds ⋮ \(L^2\) vanishing theorem on some Kähler manifolds ⋮ Energy gaps for exponential Yang-Mills fields

Cites Work

• The gap phenomena of Yang-Mills fields over the complete manifold
• Essential self-adjointness of powers of generators of hyperbolic equations
• On the Sobolev constant and the $p$-spectrum of a compact riemannian manifold
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