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arXiv · 1510.03815

Lojasiewicz-Simon gradient inequalities for coupled Yang-Mills energy functions

Paul M. N. Feehan·Manousos Maridakis
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Abstract

In this sequel to arXiv:1510.03817, we apply our abstract Lojasiewicz-Simon gradient inequality to 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 (Theorems 23.1 and 23.17 in arXiv:1409.1525) for base manifolds of dimensions two, three and four and due to Rade (1992) for dimensions two and three.

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Paul M. N. Feehan, Manousos Maridakis. 2019-01-15. Lojasiewicz-Simon gradient inequalities for coupled Yang-Mills energy functions. https://arxiv.org/abs/1510.03815

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