تقرير
Proper harmonic embeddings of open Riemann surfaces into $\mathbb{R}^4$
| العنوان: | Proper harmonic embeddings of open Riemann surfaces into $\mathbb{R}^4$ |
|---|---|
| المؤلفون: | Alarcon, Antonio, Lopez, Francisco J. |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Mathematics - Complex Variables |
| الوصف: | We prove that every open Riemann surface admits a proper embedding into $\mathbb{R}^4$ by harmonic functions. This reduces by one the previously known embedding dimension in this framework, dating back to a theorem by Greene and Wu from 1975. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2206.03566 |
| رقم الأكسشن: | edsarx.2206.03566 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |