A variational proof of the Allendoerfer-Weil formula including a covering theorem for differentiable manifolds

DOI10.1007/BF03322973zbMath0479.53033MaRDI QIDQ1162006

Moritz Armsen

Publication date: 1981

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

covering theoremGauss-Bonnet theoremAllendoerfer-Weil formula

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Local Riemannian geometry (53B20) Triangulating (57R05)

Cites Work

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• A variational proof of the Gauss-Bonnet formula
• Variational problems involving combined tensor fields
• Elementary Differential Topology. (AM-54)
• The Einstein Tensor and Its Generalizations
• The Gauss-Bonnet Theorem for Riemannian Polyhedra

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