Lojasiewicz-Simon gradient inequalities for coupled Yang-Mills energy functions
Differential Geometry
2019-01-16 v6 Mathematical Physics
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.1510.03815,
title = {Lojasiewicz-Simon gradient inequalities for coupled Yang-Mills energy functions},
author = {Paul M. N. Feehan and Manousos Maridakis},
journal= {arXiv preprint arXiv:1510.03815},
year = {2019}
}
Comments
xvi + 138 pages. To appear in Memoirs of the American Mathematical Society