Two dimensional compact simple Riemannian manifolds are boundary distance rigid
Two dimensional compact simple Riemannian manifolds are boundary distance rigid
复制标题
二维紧简单黎曼流形是边界距离刚性的
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
G. Uhlmann
中科院分区：
文献类型：
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作者：
L. Pestov;G. Uhlmann
证明了已知二维紧致简单黎曼流形的边界连接点的测地线的长度，可以唯一地确定直到自然障碍的黎曼度量.
We prove that knowing the lengths of geodesics joining points of the boundary of a two-dimensional, compact, simple Riemannian manifold with boundary, we can determine uniquely the Riemannian metric up to the natural obstruction.