Energy gaps for \(p\)-Yang-Mills fields over compact Riemannian manifolds (Q1756003)

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scientific article; zbMATH DE number 7000579
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Energy gaps for \(p\)-Yang-Mills fields over compact Riemannian manifolds
scientific article; zbMATH DE number 7000579

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    Energy gaps for \(p\)-Yang-Mills fields over compact Riemannian manifolds (English)
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    11 January 2019
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    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.
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    \(p\)-Yang-Mills field
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    energy gap
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    compact Riemannian manifold
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