Vanishing of cohomology groups and large eigenvalues of the Laplacian on \(p\)-forms

DOI10.1007/s00209-004-0735-zzbMath1091.58019OpenAlexW2035967256MaRDI QIDQ1775185

Junya Takahashi

Publication date: 4 May 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-004-0735-z

zbMATH Keywords

eigenvaluesRiemannian manifoldsLaplacian\(p\)-forms

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometric aspects of harmonic maps (53C43)

Related Items (1)

Collapsing to Riemannian manifolds with boundary and the convergence of the eigenvalues of the Laplacian

Cites Work

• Unnamed Item
• Unnamed Item
• The adiabatic limit, Hodge cohomology and Leray's spectral sequence for a fibration
• Collapsing Riemannian manifolds while keeping their curvature bounded. I
• Eigenvalue comparison theorems and its geometric applications
• The \(p\)-spectrum of the Laplacian on compact hyperbolic three manifolds
• Collapsing three-manifolds under a lower curvature bound.
• Curvature, Harnack's inequality, and a spectral characterization of nilmanifolds
• Morse-Bott functions and the Witten Laplacian
• Spectral sequences and adiabatic limits
• Collapsing and the differential form Laplacian: the case of a smooth limit space.
• Metrics with harmonic spinors
• Principe de Dirichlet pour les formes différentielles
• Adiabatic Limits, Nonmultiplicativity of Signature, and Leray Spectral Sequence
• Riemannian Metrics with Large First Eigenvalue on Forms of Degree p

This page was built for publication: Vanishing of cohomology groups and large eigenvalues of the Laplacian on \(p\)-forms