Regularizing a Singular Special Lagrangian Variety
Regularizing a Singular Special Lagrangian Variety
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正则化奇异特殊拉格朗日簇
DOI：
10.4310/cag.2004.v12.n4.a1
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发表时间：
2001
影响因子：
0.7
通讯作者：
Adrian Butscher
中科院分区：
文献类型：
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作者：
Adrian Butscher
设M1和M2是两个特殊拉格朗日子流形，它们的边界为R2 n，n3，且横交于一点p，则集合M1 [ M2]是一个奇异特殊拉格朗日簇，在交点处具有孤立奇点。进一步假设相交处的切平面满足角度准则（在维数n = 3时总是成立）。然后，M1 [ M2]是可正则化的;换句话说，存在一族光滑的，
Suppose M1 and M2 are two special Lagrangian submanifolds with boundary of R 2n , n � 3, that intersect transversally at one point p. The set M1 [ M2 is a singular special Lagrangian variety with an isolated singularity at the point of intersection. Suppose further that the tangent planes at the intersection satisfy an angle criterion (which always holds in dimension n = 3). Then, M1 [ M2 is regularizable; in other words, there exists a family of smooth,