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EQUIVARIANT HARMONIC CYLINDERS

2005/07/22 by Francis E. Burstall, F. E. Burstall, Martin Kilian +1
Mathematics · #Analytic and geometric function theory #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG

paper · pdf · doi:10.1093/qmath/hal005

published as Quarterly J. Math 57 (2006) 449-468

arxiv created 2005/07/22 · openalex publication_date 2006/03/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that a primitive harmonic map is equivariant if and only if it admits a holomorphic potential of degree one. We investigate when the equivariant harmonic map is periodic and, as an application, discuss constant mean curvature cylinders with screw motion symmetries.

Citations