紧齐次不可约黎曼流形的和规则和尖锐特征值界

IF 0.7 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2025-09-22 DOI:10.1007/s10455-025-10018-z

Luigi Provenzano, Joachim Stubbe

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引用次数: 0

摘要

利用不可约线性各向同性群紧齐次黎曼流形上拉普拉斯特征函数梯度的恒等式，得到了Riesz均值上渐近尖锐的普适特征值不等式和尖锐的Weyl界。该方法是非变分的，基于和规则形式的谱量恒等式。

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Sum rules and sharp eigenvalue bounds for compact homogeneous irreducible Riemannian manifolds

We exploit an identity for the gradients of Laplacian eigenfunctions on compact homogeneous Riemannian manifolds with irreducible linear isotropy group to obtain asymptotically sharp universal eigenvalue inequalities and sharp Weyl bounds on Riesz means. The approach is non variational and is based on identities for spectral quantities in the form of sum rules.

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来源期刊

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.