图表和谐波映射，重新审视
Diagrams and harmonic maps, revisited
摘要：
本文将2-球面到Grassmannian的调和映射的许多已知结果推广到任意Riemann曲面的有限酉数调和映射。我们的方法依赖于一个新的幂零圈理论，该理论产生于F.E.~ Burstall和第二作者对这类调和映射的性质进行了讨论，这些性质是由作者最近用A.~阿莱曼应用包括常曲率极小曲面的一个新的分类结果和有限型调和映射的一个恒常性结果。
英文摘要：
We extend many known results for harmonic maps from the 2-sphere into a Grassmannian to harmonic maps of finite uniton number from an arbitrary Riemann surface. Our method relies on a new theory of nilpotent cycles arising from the diagrams of F.E.~Burstall and the second author associated to such harmonic maps; these properties arise from a criterion for finiteness of the uniton number found recently by the authors with A.~Aleman. Applications include a new classification result on minimal surfaces of constant curvature and a constancy result for finite type harmonic maps.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
