Geometry and stability of surfaces with constant anisotropic mean curvature
Geometry and stability of surfaces with constant anisotropic mean curvature
复制标题
DOI：
10.1512/iumj.2005.54.2613
复制
发表时间：
2005
影响因子：
1.1
通讯作者：
Miyuki Koiso;B. Palmer
中科院分区：
文献类型：
--
作者：
Miyuki Koiso;B. Palmer
我们研究了具有体积约束的（常系数）参数椭圆泛函平衡曲面的几何形状。我们考虑了这类曲面的第一、第二变分和高斯映射的例外集。平衡表面的革命（各向异性Delaunay表面）也进行了讨论，是一个各向异性版本的Willmore功能。
We study the geometry of surfaces which are in equilibrium for a (constant coefficient) parametric elliptic functional with a volume constraint. We consider the first and second variations and the exceptional set of the Gauss map for such surfaces. The equilibrium surfaces of revolution (anisotropic Delaunay surfaces) are also discussed as is an anisotropic version of the Willmore functional.