تقرير
Diagrams and harmonic maps, revisited
| العنوان: | Diagrams and harmonic maps, revisited |
|---|---|
| المؤلفون: | Pacheco, Rui, Wood, John C. |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Primary 58E20, Secondary 47B32, 30H15, 53C43 |
| الوصف: | 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. Comment: Minor corrections made to text. Reference to a paper by G. Valli added |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2202.07525 |
| رقم الأكسشن: | edsarx.2202.07525 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |