Some formulas of Gauss-Bonnet-Chern type in Riemann-Finsler geometry.

DOI10.1515/CRLL.1996.475.149zbMath0845.53051OpenAlexW4249827035MaRDI QIDQ4882758

Zhong-min Shen

Publication date: 11 September 1996

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002213702

zbMATH Keywords

Gauss-Bonnet theoremCartan connectionclosed oriented Finsler manifolds

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (5)

On the Gauss-Bonnet-Chern formula for real Finsler vector bundles ⋮ A Gauss-Bonnet-Chern theorem for complex Finsler manifolds ⋮ Superconnections and an intrinsic Gauss-Bonnet-Chern formula for Finsler manifolds ⋮ A Gauss-Bonnet-type formula on Riemann-Finsler surfaces with nonconstant indicatrix volume ⋮ On Riemann-Finsler geometry

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