تقرير
Polyharmonic surfaces in $3$-dimensional homogeneous spaces
| العنوان: | Polyharmonic surfaces in $3$-dimensional homogeneous spaces |
|---|---|
| المؤلفون: | Montaldo, Stefano, Oniciuc, Cezar, Ratto, Andrea |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Primary: 58E20, Secondary: 53C42, 53C43 |
| الوصف: | In the first part of this paper we shall classify proper triharmonic isoparametric surfaces in 3-dimensional homogeneous spaces (Bianchi-Cartan-Vranceanu spaces, shortly BCV-spaces). We shall also prove that triharmonic Hopf cylinders are necessarily CMC. In the last section we shall determine a complete classification of CMC r-harmonic Hopf cylinders in BCV-spaces, r>=3. This result ensures the existence, for suitable values of r, of an ample family of new examples of r-harmonic surfaces in BCV-spaces. Comment: 24 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2302.06197 |
| رقم الأكسشن: | edsarx.2302.06197 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |