On Calderon's problem for the connection Laplacian

IF 1.3 3区数学 Q1 MATHEMATICS

Proceedings of the Royal Society of Edinburgh Section A-Mathematics Pub Date : 2024-01-05 DOI:10.1017/prm.2023.127

Ravil Gabdurakhmanov, Gerasim Kokarev

引用次数: 0

Abstract

We consider Calderón's problem for the connection Laplacian on a real-analytic vector bundle over a manifold with boundary. We prove a uniqueness result for this problem when all geometric data are real-analytic, recovering the topology and geometry of a vector bundle up to a gauge transformation and an isometry of the base manifold.

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关于连接拉普拉奇的卡尔德隆问题

我们考虑了有边界流形上的实解析向量束上的连接拉普拉奇的卡尔德龙问题。当所有几何数据都是实解析时，我们证明了这一问题的唯一性结果，恢复了向量束的拓扑和几何，直至基流形的轨距变换和等距。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Proceedings of the Royal Society of Edinburgh Section A-Mathematics 数学-数学

CiteScore

3.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： A flagship publication of The Royal Society of Edinburgh, Proceedings A is a prestigious, general mathematics journal publishing peer-reviewed papers of international standard across the whole spectrum of mathematics, but with the emphasis on applied analysis and differential equations. An international journal, publishing six issues per year, Proceedings A has been publishing the highest-quality mathematical research since 1884. Recent issues have included a wealth of key contributors and considered research papers.