On the Compactness Theorem for Embedded Minimal Surfaces in 3-manifolds with Locally Bounded Area and Genus
On the Compactness Theorem for Embedded Minimal Surfaces in 3-manifolds with Locally Bounded Area and Genus
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关于具有局部有界面积和亏格的3-流形嵌入极小曲面的紧性定理
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发表时间：
2015
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影响因子：
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通讯作者：
B. White
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文献类型：
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作者：
B. White
给定一个序列的适当嵌入极小曲面在3 $-流形上的局部边界的面积和属，我们证明了连续收敛，光滑远离离散集，到一个光滑的嵌入极限曲面，可能与多重性，我们分析会发生什么时，一个吹的表面附近的一个点，收敛不顺利。
Given a sequence of properly embedded minimal surfaces in a $3$-manifold with local bounds on area and genus, we prove subsequential convergence, smooth away from a discrete set, to a smooth embedded limit surface, possibly with multiplicity, and we analyze what happens when one blows up the surfaces near a point where the convergence is not smooth.