Two dimensional compact simple Riemannian manifolds are boundary distance rigid

被引：136

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.

引用

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页码：1093 / 1110

页数：18

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