Spectral approximation by \(L_ 2\) discretization of the Laplace operator on manifolds of bounded geometry

DOI10.1007/BF00054610zbMath0673.58049OpenAlexW2058257462MaRDI QIDQ1120885

Ingolf Buttig

Publication date: 1988

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00054610

zbMATH Keywords

Whitney mapLaplacianWhitney formsde Rham mapHodge decomposition ofsemicombinatorical Laplacianthe spectrum of the Laplacian

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

Heat kernel for open manifolds ⋮ The spectrum of the laplacian on a certain nilpotent lie group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis of the Laplacian on a complete Riemannian manifold
• Spectral geometry for certain noncompact Riemannian manifolds
• Sobolev spaces of differential forms and de Rham-Hodge isomorphism
• On the essential spectrum of a complete Riemannian manifold
• De Rham-Hodge theory for \(L^2\)-cohomology of infinite coverings
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• R-torsion and the Laplacian on Riemannian manifolds
• Riemannsche Mannigfaltigkeiten mit einer zylinderähnlichen Endenmetrik
• Eigenforms of the laplacian on complete riemannian manifolds
• Stability Theorems for the Continuous Spectrum of a Negatively Curved Manifold
• Der De Rhamsche Isomorphiesatz in der L₂‐Kategorie für eine Klasse offener Mannigfaltigkeiten
• Spektraltheorie offener Riemannscher Mannigfaltigkeiten mit einer rotationssymmetrischen Metrik
• Finite-Difference Approach to the Hodge Theory of Harmonic Forms
• Elementary Differential Topology. (AM-54)
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

This page was built for publication: Spectral approximation by \(L_ 2\) discretization of the Laplace operator on manifolds of bounded geometry