تقرير
The geometric Toda equations for noncompact symmetric spaces
| العنوان: | The geometric Toda equations for noncompact symmetric spaces |
|---|---|
| المؤلفون: | McIntosh, Ian |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Mathematical Physics, Mathematics - Analysis of PDEs, 37K10, 53C43, 58E20 |
| الوصف: | This paper has two purposes. The first is to classify all those versions of the Toda equations which govern the existence of $\tau$-primitive harmonic maps from a surface into a homogeneous space $G/T$ for which $G$ is a noncomplex noncompact simple real Lie group and $T$ is a maximal compact torus, i.e., a maximal torus inside a maximal compact subgroup $H < G$. Here $\tau$ is the Coxeter automorphism which Drinfel'd & Sokolov assigned to each affine Dynkin diagram. This allows $\tau$ to be either an inner or an outer automorphism. We show that, up to equivalence, the real forms $G |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.02323 |
| رقم الأكسشن: | edsarx.2406.02323 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |