On the Gauss-Bonnet Theorem for Complete Manifolds

DOI10.2307/1999674zbMath0559.53032OpenAlexW4243597090MaRDI QIDQ5185643

Steven Rosenberg

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/1999674

zbMATH Keywords

Euler characteristicfinite topological typeGauss-Bonnet-theorem

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (3)

Odd Pfaffian forms ⋮ Total curvature of complete submanifolds of Euclidean space ⋮ Higher transgressions of the Pfaffian

Cites Work

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• On subharmonic functions and differential geometry in the large
• Volume and bounded cohomology
• On the curvatura integra in a Riemannian manifold
• Morse Theory. (AM-51)
• On the point spectrum for finite volume symmentric spaces of negative curvature
• Shorter Notes: Gauss-Bonnet Theorems for Noncompact Surfaces
• A Gauss-Bonnet formula for discrete arithmetically defined groups

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