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キーワード:
Mathematics, Differential Geometry, Mathematical Physics, Analysis of PDEs
要旨:
We prove Lojasiewicz–Simon gradient inequalities for coupled Yang–Mills energy
functions using Sobolev spaces which impose minimal regularity requirements
on pairs of connections and sections. The Lojasiewicz–Simon gradient inequalities
for coupled Yang–Mills energy functions generalize that of the pure Yang–Mills energy
function due to the first author (Feehan, 2014) for base manifolds of arbitrary
dimension and due to R˚ade (1992, Proposition 7.2) for dimensions two and three.
