Eigenvalue estimates and isoperimetric inequalities for cone-manifolds

DOI10.1017/S0004972700012326zbMath0812.58092MaRDI QIDQ4287878

Craig D. Hodgson, Johan Tysk

Publication date: 19 April 1994

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

eigenvaluecone singularityRicci curvatureisoperimetric inequalitiesspectral geometrycone manifolds

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (3)

Classifying Voronoi graphs of hex spheres ⋮ Eigenforms of the Laplacian for Riemannian \(V\)-submersions ⋮ Orbigraphs: a graph-theoretic analog to Riemannian orbifolds

Cites Work

• Heat kernel estimates and lower bound of eigenvalues
• Eigenvalue comparison theorems and its geometric applications
• Differential equations on riemannian manifolds and their geometric applications

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