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arxiv: 1011.3084 · v1 · pith:VDDZNIN6new · submitted 2010-11-13 · 🧮 math.DG

Minimal Surfaces in G2 Manifolds

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keywords associatedconformalconsidercriteriagaussgiveharmonicholonomy
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We consider immersions of a Riemann surface into a manifold with $G_2$-holonomy and give criteria for them to be conformal and harmonic, in terms of an associated Gauss map.

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