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Geometry of minimal energy Yang-Mills connections

Publication ,  Journal Article
Stern, M
Published in: Journal of Differential Geometry
2010

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.

Duke Scholars

Published In

Journal of Differential Geometry

ISSN

0022-040X

Publication Date

2010

Volume

86

Issue

1

Start / End Page

163 / 188

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics
 

Citation

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ICMJE
MLA
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Stern, M. (2010). Geometry of minimal energy Yang-Mills connections. Journal of Differential Geometry, 86(1), 163–188.
Stern, M. “Geometry of minimal energy Yang-Mills connections.” Journal of Differential Geometry 86, no. 1 (2010): 163–88.
Stern M. Geometry of minimal energy Yang-Mills connections. Journal of Differential Geometry. 2010;86(1):163–88.
Stern, M. “Geometry of minimal energy Yang-Mills connections.” Journal of Differential Geometry, vol. 86, no. 1, 2010, pp. 163–88.
Stern M. Geometry of minimal energy Yang-Mills connections. Journal of Differential Geometry. 2010;86(1):163–188.

Published In

Journal of Differential Geometry

ISSN

0022-040X

Publication Date

2010

Volume

86

Issue

1

Start / End Page

163 / 188

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics