从 Bochner 技术的角度看 Lichnerowicz Laplacian

IF 0.6 4区数学 Q3 MATHEMATICS

Mathematical Notes Pub Date : 2024-07-05 DOI:10.1134/s0001434624030179

I. A. Aleksandrova, S. E. Stepanov, I. I. Tsyganok

引用次数: 0

摘要

摘要证明了完整黎曼流形上 Lichnerowicz 和 Hodge 拉普拉斯的核的消失定理，并估计了封闭黎曼流形上 Lichnerowicz 拉普拉斯的特征值。

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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Lichnerowicz Laplacian from the Point of View of the Bochner Technique

Abstract

Vanishing theorems for the kernels of Lichnerowicz and Hodge Laplacians on a complete Riemannian manifold are proved, and the eigenvalues of a Lichnerowicz Laplacian on a closed Riemannian manifold are estimated.

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来源期刊

Mathematical Notes 数学-数学

CiteScore

0.90

自引率

16.70%

发文量

179

审稿时长

24 months

期刊介绍： Mathematical Notes is a journal that publishes research papers and review articles in modern algebra, geometry and number theory, functional analysis, logic, set and measure theory, topology, probability and stochastics, differential and noncommutative geometry, operator and group theory, asymptotic and approximation methods, mathematical finance, linear and nonlinear equations, ergodic and spectral theory, operator algebras, and other related theoretical fields. It also presents rigorous results in mathematical physics.