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Some conditions ensuring the vanishing of harmonic differential forms with applications to harmonic maps and Yang-Mills theory. (English) Zbl 0494.58002


MSC:

58A14 Hodge theory in global analysis
58E20 Harmonic maps, etc.
53C80 Applications of global differential geometry to the sciences
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[1] DOI: 10.1215/S0012-7094-80-04736-5 · Zbl 0513.58019 · doi:10.1215/S0012-7094-80-04736-5
[2] Kobayashi, Foundations of differential geometry I (1963)
[3] DOI: 10.1016/0003-4916(79)90189-1 · Zbl 0412.35089 · doi:10.1016/0003-4916(79)90189-1
[4] Aronszajn, J. Math. Pure Appl. 36 pp 235– (1957)
[5] Cheeger, J. Diff. Geom. 3 pp 119– (1969)
[6] Bourguignon, Comm. Math. Phys
[7] DOI: 10.1112/blms/10.1.1 · Zbl 0401.58003 · doi:10.1112/blms/10.1.1
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