Double forms, curvature integrals and the Gauss-Bonnet formula

DOI10.1007/978-3-031-43510-2_4MaRDI QIDQ6610766

Marc Troyanov

Publication date: 26 September 2024

zbMATH Keywords

Gauss-Bonnet formulacurvature integralsdouble forms

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Differential forms in global analysis (58A10) Global Riemannian geometry, including pinching (53C20)

Cites Work

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• The imbedding problem for Riemannian manifolds
• Quelques remarques sur les applications différentiables d'une surface dans le plan
• Historical development of the Gauss-Bonnet theorem
• Volume and bounded cohomology
• Vektorfelder in \(n\)-dimensionalen Mannigfaltigkeiten.
• La géométrie des espaces de Riemann.
• Über die Curvatura integra geschlossener Hyperflächen.
• Die Curvatura integra Clifford-Kleinscher Raumformen.
• On the Bianchi identities
• The Euler number of a Riemann manifold.
• On the volume of tubes.
• A remarkable property of the Riemann-Christoffel tensor in four dimensions
• A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds
• On the curvatura integra in a Riemannian manifold
• On Immersion of Manifolds
• The Volume Spectrum of Hyperbolic 4-Manifolds
• All the Way with Gauss-Bonnet and the Sociology of Mathematics
• On the Gauss-Bonnet Theorem for Complete Manifolds
• Foundations of Hyperbolic Manifolds
• Double forms, curvature structures and the $(p,q)$-curvatures
• A Gauss-Bonnet formula for discrete arithmetically defined groups
• On Total Curvatures of Riemannian Manifolds: I
• The Gauss-Bonnet Theorem for Riemannian Polyhedra
• The Gauss-Bonnet formula for hyperbolic manifolds of finite volume

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