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

被引：1

作者：

Sabatini, Luca

机构：

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2020年 / 28卷 / 01期

关键词：

Double of a manifold; Laplacian; Topological invariants; Regularized metric with control of curvature; VIBRATION FREQUENCIES;

D O I：

10.2478/auom-2020-0012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：165 / 179

页数：15

共 8 条

[1] Estimates of the Laplacian Spectrum and Bounds of Topological Invariants for Riemannian Manifolds with Boundary
Sabatini, Luca
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2019, 27 (02): : 179 - 211
[2] The spectrum of the Laplacian on the warped products of Riemannian manifolds
Glotko, N. V.
SIBERIAN MATHEMATICAL JOURNAL, 2008, 49 (01) : 18 - 35
[3] The spectrum of the Laplacian on the warped products of Riemannian manifolds
N. V. Glotko
Siberian Mathematical Journal, 2008, 49 : 18 - 35
[4] Discretization of Compact Riemannian Manifolds Applied to the Spectrum of Laplacian
Tatiana Mantuano
Annals of Global Analysis and Geometry, 2005, 27 : 33 - 46
[5] Discretization of compact Riemannian manifolds applied to the spectrum of Laplacian
Mantuano, T
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2005, 27 (01) : 33 - 46
[6] Conformal invariants from nodal sets. II. Manifolds with boundary
Cox, Graham
Jakobson, Dmitry
Karpukhin, Mikhail
Sire, Yannick
JOURNAL OF SPECTRAL THEORY, 2021, 11 (02) : 387 - 409
[7] BOUNDARY VOLUME AND LENGTH SPECTRA OF RIEMANNIAN MANIFOLDS: WHAT THE MIDDLE DEGREE HODGE SPECTRUM DOESN'T REVEAL (vol 53, pg 2297, 2003)
GORDON, Carolyn S.
Pablo ROSSETT, Juan, I
ANNALES DE L INSTITUT FOURIER, 2021, 71 (06) : 2647 - 2648
[8] Existence of Solutions to the Second Boundary-Value Problem for the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p$$\end{document}-Laplacian on Riemannian Manifolds
V. V. Brovkin
A. A. Kon’kov
Mathematical Notes, 2021, 109 (1-2) : 171 - 183

← 1 →