HORIZONTAL LAPLACIAN ON TANGENT BUNDLE OF FINSLER MANIFOLD WITH g-NATURAL METRIC

DOI10.1142/S0219887812500612zbMath1254.53043OpenAlexW2009630504MaRDI QIDQ3144215

Esmaeil Peyghan, Akbar Tayebi, Chun-Ping Zhong

Publication date: 7 December 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887812500612

zbMATH Keywords

Killing vector fieldhorizontal Laplaciang-natural metric

Mathematics Subject Classification ID

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

Related Items

On the geometry of tangent bundle of Finsler manifold with Cheeger-Gromoll metric ⋮ Laplacians for the holomorphic tangent bundles with g-nature metrics on complex Finsler manifolds ⋮ A classification of conformal vector fields on the tangent bundle ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A vanishing theorem on Kähler Finsler manifolds
• Finslerian complex and Kählerian structures
• On Ricci tensors of Randers metrics
• Über die Finsler-Räume mit \(A_i=0\)
• Randers surfaces whose Laplacians have completely positive symbol
• Finsler Geometry
• A Kähler structure on Finsler spaces with nonzero constant flag curvature

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