A short proof of a theorem by Hopf

DOI10.1016/j.exmath.2015.07.007zbMath1347.55005arXiv1507.07018OpenAlexW2963281593MaRDI QIDQ530366

Daniel Cibotaru

Publication date: 29 July 2016

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07018

zbMATH Keywords

degree of Gauss map

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Degree, winding number (55M25) Connections (general theory) (53C05)

Cites Work

• On a theorem of H. Hopf
• Characteristic forms and geometric invariants
• A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds
• On the curvatura integra in a Riemannian manifold
• Vertical flows and a general currential homotopy formula
• Existence of Universal Connections
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