Two dimensional compact simple Riemannian manifolds are boundary distance rigid

被引：144
|
作者：
Pestov, L
Uhlmann, G
机构：
[1] Russian Acad Sci, Inst Computat Math & Math Geophys, Novosibirsk, Russia
[2] Univ Washington, Seattle, WA 98195 USA
来源：
ANNALS OF MATHEMATICS | 2005年 / 161卷 / 02期
关键词：
D O I：
10.4007/annals.2005.161.1093
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：1093 / 1110
页数：18
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