通过广义海森堡群实现弱对称性和交换性的非紧凑不可逆性

IF 0.7 4区数学 Q2 MATHEMATICS

Bulletin of The Iranian Mathematical Society Pub Date : 2024-08-23 DOI:10.1007/s41980-024-00900-0

Teresa Arias-Marco, José-Manuel Fernández-Barroso

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引用次数: 0

摘要

如果存在一个单位算子交织两个黎曼流形的拉普拉斯-贝尔特拉米算子，则称这两个流形为等谱流形。在本文中，我们利用 23 维广义海森堡群的等谱对，证明了在非紧凑环境中弱对称性和交换性的不可听性。

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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Non-Compact Inaudibility of Weak Symmetry and Commutativity via Generalized Heisenberg Groups

Two Riemannian manifolds are said to be isospectral if there exists a unitary operator which intertwines their Laplace-Beltrami operator. In this paper, we prove in the non-compact setting the inaudibility of the weak symmetry property and the commutative property using an isospectral pair of 23 dimensional generalized Heisenberg groups.

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来源期刊

Bulletin of The Iranian Mathematical Society Mathematics-General Mathematics

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： The Bulletin of the Iranian Mathematical Society (BIMS) publishes original research papers as well as survey articles on a variety of hot topics from distinguished mathematicians. Research papers presented comprise of innovative contributions while expository survey articles feature important results that appeal to a broad audience. Articles are expected to address active research topics and are required to cite existing (including recent) relevant literature appropriately. Papers are critically reviewed on the basis of quality in its exposition, brevity, potential applications, motivation, value and originality of the results. The BIMS takes a high standard policy against any type plagiarism. The editorial board is devoted to solicit expert referees for a fast and unbiased review process.