Invariant surfaces in Euclidean space with a log-linear density
Invariant surfaces in Euclidean space with a log-linear density
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DOI：
10.1016/j.aim.2018.09.029
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发表时间：
2018-02
影响因子：
1.7
通讯作者：
Rafael L'opez
中科院分区：
文献类型：
--
作者：
Rafael L'opez
具有密度向量v→的λ平移孤子是欧氏空间中平均曲率H满足2h = 2 λ+< N, v→>的曲面，其中N为高斯映射。我们用一参数平移群和一参数旋转群对所有不变的λ平移孤子进行了分类。
A λ-translating soliton with density vector v→ is a surface in Euclidean space whose mean curvature H satisfies 2 H= 2 λ+< N, v→>, where N is the Gauss map. We classify all λ-translating solitons that are invariant by a one-parameter group of translations and a one-parameter group of rotations.