黎曼流形的拉普拉斯谱和拓扑不变量界的估计

Pub Date : 2020-03-01 DOI:10.2478/auom-2020-0012

Luca Sabatini

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引用次数: 1

摘要

摘要本文给出了具有压缩截面曲率且具有有限注入半径的非空非凸边界的黎曼流形的拉普拉斯谱和拓扑不变量的一些估计。这些估计并不直接依赖于边界注入半径的下界，而是依赖于流形及其边界的曲率边界。

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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Estimates of the Laplacian Spectrum and Bounds of Topological Invariants for Riemannian Manifolds with Boundary II

Abstract We present some estimate of the Laplacian Spectrum and of Topological Invariants for Riemannian manifold with pinched sectional curvature and with non-empty and non-convex boundary with finite injectivity radius. These estimates do not depend directly on the the lower bound of the boundary injectivity radius but on the bounds of the curvatures of the manifold and its boundary.

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