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Compactness of self-shrinkers in R3 with fixed genus
Advances in Mathematics ( IF 1.5 ) Pub Date : 2020-06-01 , DOI: 10.1016/j.aim.2020.107110 Ao Sun , Zhichao Wang
Advances in Mathematics ( IF 1.5 ) Pub Date : 2020-06-01 , DOI: 10.1016/j.aim.2020.107110 Ao Sun , Zhichao Wang
Abstract We prove the compactness of self-shrinkers in R 3 with bounded entropy and fixed genus. As a corollary, we show that numbers of ends of such surfaces are uniformly bounded by the entropy and genus.
中文翻译:
具有固定属的 R3 中自收缩器的紧致性
摘要 我们证明了具有有界熵和固定属的 R 3 中自收缩器的紧致性。作为推论,我们证明了这些表面的末端数量受熵和属的均匀限制。
更新日期:2020-06-01
中文翻译:
具有固定属的 R3 中自收缩器的紧致性
摘要 我们证明了具有有界熵和固定属的 R 3 中自收缩器的紧致性。作为推论,我们证明了这些表面的末端数量受熵和属的均匀限制。