INVERSE PROBLEMS FOR THE CONNECTION LAPLACIAN

被引：26

作者：

Kurylev, Yaroslav ^{[1
]}

Oksanen, Lauri ^{[1
]}

Paternain, Gabriel P. ^{[2
]}

机构：

[1] UCL, Dept Math, Gower St, London WC1E 6BT, England

[2] Univ Cambridge, Dept Pure Math & Math Stat, Cambridge CB3 0WB, England

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2018年 / 110卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

X-RAY TRANSFORM; WAVE-EQUATION; OPERATOR; THEOREM;

D O I：

10.4310/jdg/1542423627

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We reconstruct a Riemannian manifold and a Hermitian vector bundle with compatible connection from the hyperbolic Dirichletto-Neumann operator associated with the wave equation of the connection Laplacian. The boundary data is local and the reconstruction is up to the natural gauge transformations of the problem. As a corollary we derive an elliptic analogue of the main result which solves a Calderon problem for connections on a cylinder.

引用

页码：457 / 494

页数：38

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