论文标题
在$ \ mathbb {h}^2 \ times \ mathbb {r} $中，具有规定平均曲率的表面
Surfaces with prescribed mean curvature in $\mathbb{H}^2\times\mathbb{R}$
论文作者
论文摘要
在本文中，我们研究了空间中的旋转表面$ \ mathbb {h}^2 \ times \ times \ mathbb {r} $，其平均曲率作为其角度函数的规定函数给出。这些表面概括了恒定平均曲率和平均曲率流的孤子的恒定表面。使用相位平面分析，我们构造整个旋转图，链球类式表面，并在规定的函数是线性时表现出分类结果。
In this paper we study rotational surfaces in the space $\mathbb{H}^2\times\mathbb{R}$ whose mean curvature is given as a prescribed function of their angle function. These surfaces generalize, among others, the ones of constant mean curvature and the translating solitons of the mean curvature flow. Using a phase plane analysis we construct entire rotational graphs, catenoid-type surfaces, and exhibit a classification result when the prescribed function is linear.
