Doubly periodic self-translating surfaces for the mean curvature flow
Doubly periodic self-translating surfaces for the mean curvature flow
复制标题
平均曲率流的双周期自平移表面
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
X. H. Nguyen
中科院分区：
文献类型：
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作者：
X. H. Nguyen
我们为平均曲率流构建了自平移表面的新示例，其周期配置在每个周期内都有有限多个死神圆柱体。因为这项工作是作者关于有限族死神圆柱体去奇异化的文章的延伸，所以我们简单地讨论构造思想，这里仅证明周期配置具有必要的灵活性。这些例子表明，与自收缩表面相比，自平移表面不一定具有二次体积增长率。
We construct new examples of self-translating surfaces for the mean curvature flow from a periodic configuration with finitely many grim reaper cylinders in each period. Because this work is an extension of the author’s article on the desingularization of a finite family of grim reaper cylinders, we simply discuss the ideas of the construction and here prove only that the periodic configuration has the necessary flexibility. These examples show that self-translating surfaces do not necessarily have quadratic volume growth rate in contrast to self-shrinking surfaces.