تقرير
Solitons of the mean curvature flow in $\mathbb{s}^2\times\mathbb{R}$
| العنوان: | Solitons of the mean curvature flow in $\mathbb{s}^2\times\mathbb{R}$ |
|---|---|
| المؤلفون: | López, Rafael, Munteanu, Marian Ioan |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, 53A10, 53C42, 53C44 |
| الوصف: | A soliton of the mean curvature flow in the product space $\mathbb{s}^2\times\mathbb{R}$ as a surface whose mean curvature $H$ satisfies the equation $H=\langle N,X\rangle$, where $N$ is the unit normal of the surface and $X$ is a Killing vector field. In this paper we consider the vector field tangent to the fibers and the vector field associated to a rotations about an axis of $\mathbb{s}^2$, respectively. We give a classification of the solitons with respect to these vector fields assuming that the surface is invariant under a one-parameter group of vertical translations or under a group of rotations of $\mathbb{s}^2$. Comment: 14 pages, 5 figures |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2402.14727Test |
| رقم الانضمام: | edsarx.2402.14727 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |