A topological Gauss-Bonnet theorem

DOI10.4310/jdg/1214434606zbMath0436.57006OpenAlexW2166939753WikidataQ115189435 ScholiaQ115189435MaRDI QIDQ1140909

Richard S. Palais

Publication date: 1978

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214434606

zbMATH Keywords

Euler characteristicelementary proof of the Gauss Bonnet integral formulainvariance under suitable cutting and pasting operations

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Algebraic topology of manifolds (57N65)

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Expected volume and Euler characteristic of random submanifolds

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