Open Access
September 2010 Geometry of minimal energy Yang-Mills connections
Mark Stern
J. Differential Geom. 86(1): 163-188 (September 2010). DOI: 10.4310/jdg/1299766686


We prove that energy minimizing Yang–Mills connections on compact homogeneous 4-manifolds are either instantons or split into a sum of instantons on passage to the adjoint bundle. We prove related results for Calabi–Yau 3-folds and for 3-dimensional manifolds of nonnegative Ricci curvature.


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Mark Stern. "Geometry of minimal energy Yang-Mills connections." J. Differential Geom. 86 (1) 163 - 188, September 2010.


Published: September 2010
First available in Project Euclid: 10 March 2011

zbMATH: 1217.53027
MathSciNet: MR2772548
Digital Object Identifier: 10.4310/jdg/1299766686

Rights: Copyright © 2010 Lehigh University

Vol.86 • No. 1 • September 2010
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