Locally conformally Berwald manifolds and compact quotients of reducible manifolds by homotheties

DOI10.5802/aif.3097zbMath1400.53064arXiv1506.08935OpenAlexW2197927655MaRDI QIDQ1687882

Yuri Nikolayevsky, Vladimir S. Matveev

Publication date: 4 January 2018

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08935

zbMATH Keywords

Finsler manifoldreducible holonomyBerwald manifoldhomothety group

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Issues of holonomy in differential geometry (53C29) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (2)

Conformally related Douglas metrics in dimension two are Randers ⋮ Similarity structures and de Rham decomposition

Cites Work

• On the irreducibility of locally metric connections
• On a scale function for testing the conformality of a Finsler manifold to a Berwald manifold
• The Binet-Legendre metric in Finsler geometry
• On the transitivity of holonomy systems
• Closed similarity manifolds
• Twisted products in pseudo-Riemannian geometry
• A counterexample to Belgun-Moroianu conjecture
• On geometric vector fields of Minkowski spaces and their applications
• Anosov geodesic flows, billiards and linkages
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
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