A Uniqueness Theorem for Gluing Calibrated Submanifolds
A Uniqueness Theorem for Gluing Calibrated Submanifolds
复制标题
粘合校准子流形的唯一性定理
DOI：
10.4310/cag.2015.v23.n4.a1
复制
发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Yohsuke Imagi
中科院分区：
文献类型：
--
作者：
Yohsuke Imagi
“胶合”是一种构造诸如杨-米尔斯方程、极小曲面方程和爱因斯坦方程等非线性（椭圆）偏微分方程的解的技术。标定子流形是一类极小曲面，有许多例子是用胶合技术构造的。在这个意义上，我们有存在性定理，但似乎一直没有唯一性理论的高维的，如特殊的拉格朗日子流形，我们在本文中讨论。
`Gluing' is a technique of constructing solutions to non-linear (elliptic) partial differential equations such as Yang--Mills equations, minimal surface equations and Einstein equations. Calibrated submanifolds are a certain class of minimal surfaces, and there are various examples of them constructed by the gluing technique. We have existence theorems in that sense, but there seems to have been no uniqueness theory for higher-dimensional ones such as special Lagrangian submanifolds, which we discuss in the present paper.
影响因子：
2.5
作者：
S. Donaldson
通讯作者：
S. Donaldson