Ojasiewicz-Simon Gradient Inequalities for Coupled Yang-Mills Energy Functionals

"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"-- Read More

"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"-- Read Less

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2021, American Mathematical Society ISBN-13: 9781470443023 Unknown binding See All