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arxiv: 0802.1626 · v5 · pith:F7DMUPESnew · submitted 2008-02-12 · 🧮 math.DG · math-ph· math.MP

A special class of holomorphic mappings and the Faddeev-Hopf model

classification 🧮 math.DG math-phmath.MP
keywords classconformalfaddeev-hopfholomorphicmapsalmostcasescritical
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Pseudo horizontally weakly conformal maps extend both holomorphic and (semi)conformal maps into an almost Hermitian manifold. We find in this larger class critical points for the (generalized) Faddeev-Hopf energy. Their stability is also discussed in some cases.

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