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 48 条

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Sabatini, Luca
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2019, 27 (02): : 179 - 211
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Cianchi, Andrea
Maz'ya, Vladimir G.
AMERICAN JOURNAL OF MATHEMATICS, 2013, 135 (03) : 579 - 635
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JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 278 (06)
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N. V. Glotko
Siberian Mathematical Journal, 2008, 49 : 18 - 35
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COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1986, 11 (01) : 63 - 85
[10] ON THE DISCRETENESS OF THE SPECTRUM OF THE LAPLACIAN ON NONCOMPACT RIEMANNIAN MANIFOLDS
Cianchi, Andrea
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JOURNAL OF DIFFERENTIAL GEOMETRY, 2011, 87 (03) : 469 - 491

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