Optimal Łojasiewicz-Simon inequalities and Morse-Bott Yang-Mills energy functions

DOI10.1515/acv-2020-0034zbMath1498.58012arXiv1706.09349OpenAlexW3125749643MaRDI QIDQ2086108

Paul M. N. Feehan

Publication date: 20 October 2022

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09349

zbMATH Keywords

gauge theoryflat connectionsYang-Mills connectionsMorse-Bott functionsinfinite-dimensional Morse theoryŁojasiewicz inequalitiesŁojasiewicz-Simon inequalities

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Applications of global analysis to structures on manifolds (57R57) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Morse-Smale systems (37D15)

Related Items (2)

Corrigendum to: ``Energy gap for Yang-Mills connections. II: Arbitrary closed Riemannian manifolds ⋮ On the Morse-Bott property of analytic functions on Banach spaces with Łojasiewicz exponent one half

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