Some conditions ensuring the vanishing of harmonic differential forms with applications to harmonic maps and Yang-Mills theory
1982 ◽
Vol 91
(3)
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pp. 441-452
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Keyword(s):
In (5) it is shown that if m ≽ 3 then there is no non-constant harmonic map φ: ℝm → Sn with finite energy. The method of proof makes use of the fact that the energy functional is not invariant under conformal transformations. This fact has also allowed Xin(9), to show that any non-constant-harmonic map φ:Sm → (N, h), m ≽ 3, is not stable in the sense of having non-negative second variation.
2005 ◽
Vol 16
(09)
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pp. 1017-1031
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1994 ◽
Vol 36
(1)
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pp. 77-80
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1999 ◽
Vol 59
(3)
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pp. 509-514
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Keyword(s):
2009 ◽
Vol 146
(2)
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pp. 435-459
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Keyword(s):
2012 ◽
Vol 27
(40)
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pp. 1250233
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Keyword(s):
2012 ◽
Vol 23
(03)
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pp. 1250003
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Keyword(s):