欧氏空间中完备自收缩子的刚性定理
A Rigidity Theorem for Complete Self-Shrinkers in the Euclidean Space
DOI: 10.12677/AAM.2020.912246, PDF, 下载: 465  浏览: 616  科研立项经费支持
作者: 曹顺娟：浙江农林大学数学系，浙江 杭州
关键词: 完备自收缩子；刚性定理；第二基本形式；Complete Self-Shrinker； Rigidity Theorem； Second Fundamental Form
摘要: 对欧氏空间中的完备自收缩子M，我们证明：如果第二基本形式A满足，且平均曲率向量满足，那么M等距于下列广义柱面之一：，。
Abstract: For a complete self-shrinker M in the Eulidean space Rn+p, we prove that if the second fundamental form A satisfies and the mean curvature H satifies , then M is one of the generalized cylinders , .
文章引用：曹顺娟. 欧氏空间中完备自收缩子的刚性定理[J]. 应用数学进展, 2020, 9(12): 2123-2128. https://doi.org/10.12677/AAM.2020.912246

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