Foliations on the tangent bundle of Finsler manifolds

DOI10.1007/s11425-011-4288-4zbMath1332.53031OpenAlexW1117655076MaRDI QIDQ424299

Esmaeil Peyghan, Akbar Tayebi, Chun-Ping Zhong

Publication date: 31 May 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4288-4

zbMATH Keywords

Riemannian foliationFinsler manifold\(g\)-natural metrics

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items

A vertical Liouville subfoliation on the cotangent bundle of a Cartan space and some related structures ⋮ On the geometry of tangent bundle of Finsler manifold with Cheeger-Gromoll metric ⋮ On doubly warped product Finsler manifolds ⋮ A class of metrics and foliations on tangent bundle of Finsler manifolds ⋮ A classification of conformal vector fields on the tangent bundle ⋮ Vertical liouville foliations on the big-tangent manifold of a finsler space

Cites Work

• A geometric characterization of Finsler manifolds of constant curvature \(K=1\)
• Two-dimensional Finsler metrics with constant flag curvature
• On Ricci tensors of Randers metrics
• Finsler metrics of scalar flag curvature with special non-Riemannian curvature properties
• Lift of the Finsler foliation to its normal bundle
• Finsler geometry and natural foliations on the tangent bundle
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