Minimal Surfaces in G2 Manifolds

2010/11/13 by Andrew Clarke, Clarke, Andrew
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1011.3084

openalex publication_date 2010/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider immersions of a Riemann surface into a manifold with G₂-holonomy and give criteria for them to be conformal and harmonic, in terms of an associated Gauss map.

Citations

• Calibrated geometries

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