广义标志流形上的黎曼\(\lambda _1\)极值度量

IF 0.7 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2025-05-28 DOI:10.1007/s10455-025-09995-y

Kennerson N. S. Lima

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引用次数: 0

摘要

在这项工作中，我们将建立新的分类结果关于\(\lambda _1\) -极值的部分标志流形，使用一个充分必要条件，在李论数据，对于一个广义标志流形上的一个Kähler-Einstein度规是一个临界点的泛函，为每个黎曼不变量Kähler度规分配其第一个正特征值的相关拉普拉斯。

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Riemannian \(\lambda _1\)-extremal metrics on generalized flag manifolds

In this work, we will establish new classification results concerning \(\lambda _1\)-extremality for partial flag manifolds using a sufficient and necessary condition, in terms of Lie theoretic data, for a Kähler–Einstein metric over a generalized flag manifold to be a critical point for the functional that assigns for each Riemannian invariant Kähler metric its first positive eigenvalue of the associated Laplacian..

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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.