论文标题
来自对称组的平均曲率流孤子观点
Mean curvature flow solitons from symmetry group viewpoint
论文作者
论文摘要
总体环境riemannian歧管中的平均曲率流的对称组是确定的，基于我们将广义孤子定义为平均曲率流。我们还提供了非欧几里得表面中同型孤子的示例，并证明平均曲率流的所有仿射溶液都是自相似的溶液。
The symmetry group of the mean curvature flow in general ambient Riemannian manifolds is determined, based on which we define generalized solitons to the mean curvature flow. We also provide examples of homothetic solitons in non-Euclidean surfaces and prove that all the affine solutions to the mean curvature flow are self-similar solutions.
