A class of metrics and foliations on tangent bundle of Finsler manifolds

DOI10.1007/s11464-016-0614-zzbMath1380.53088OpenAlexW2560547955MaRDI QIDQ1692706

Hongchuan Xia, Chun-Ping Zhong

Publication date: 10 January 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-016-0614-z

zbMATH Keywords

foliationFinsler manifoldconstant flag curvatureVaisman connection

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)

Cites Work

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• Foliations on the tangent bundle of Finsler manifolds
• On the curvature of warped product Finsler spaces and the Laplacian of the Sasaki-Finsler metrics
• Tangent bundle and indicatrix bundle of a Finsler manifold
• On a class of Riemannian metrics arising from Finsler structures
• Finsler geometry and natural foliations on the tangent bundle
• On warped product Finsler spaces of Landsberg type
• A vertical Liouville subfoliation on the cotangent bundle of a Cartan space and some related structures
• CARTAN SPACES AND NATURAL FOLIATIONS ON THE COTANGENT BUNDLE
• The warped Sasaki–Matsumoto metric and bundlelike condition

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