On a rigidity condition for Berwald spaces

DOI10.5052/RACSAM.2010.07zbMath1197.53023arXiv0710.3031OpenAlexW1514608527WikidataQ125941977 ScholiaQ125941977MaRDI QIDQ981974

Ricardo Gallego Torromé, Fernando Etayo Gordejuela

Publication date: 9 July 2010

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3031

zbMATH Keywords

Landsberg spacesBerwald spacesaveraged connection

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Connections (general theory) (53C05) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (5)

Fluid models from kinetic models using a geometric averaging procedure ⋮ Average of geometric structures in Finsler spaces with Lorentzian signature ⋮ Fiber averaged dynamics associated with the Lorentz force equation ⋮ On Fermat's principle for causal curves in time oriented Finsler spacetimes ⋮ On singular generalized Berwald spacetimes and the equivalence principle

Cites Work

• Classification of irreducible holonomies of torsion-free affine connections
• On completeness in quasi-uniform spaces
• Riemannian metrics having common geodesics with Berwald metrics
• The geometry of Hamilton and Lagrange spaces
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