De Rham-Hodge theory on a manifold with cone-like singularities

DOI10.2996/kmj/1138036482zbMath0512.58007OpenAlexW1982429740MaRDI QIDQ1049978

Masayoshi Nagase

Publication date: 1982

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036482

zbMATH Keywords

de Rham mappingharmonic p- cochainssimplicial L2 cohomologyWhitney mapping

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Hodge theory in global analysis (58A14)

Related Items (4)

The fundamental solutions of the heat equations on Riemannian spaces with cone-like singular points ⋮ The analytic torsion of a cone over an odd dimensional manifold ⋮ On the Cheeger–Müller theorem for an even-dimensional cone ⋮ \(L^ 2\)-cohomology and intersection homology of stratified spaces

Cites Work

• De Rham-Hodge theory for \(L^2\)-cohomology of infinite coverings
• Analytic torsion and R-torsion of Riemannian manifolds
• Analytic torsion and the heat equation
• R-torsion and the Laplacian on Riemannian manifolds
• Spectral asymmetry and Riemannian Geometry. I
• On the spectral geometry of spaces with cone-like singularities
• The Harmonic Operator for Exterior Differential Forms
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