On the curvature of warped product Finsler spaces and the Laplacian of the Sasaki-Finsler metrics

DOI10.1016/j.geomphys.2012.06.003zbMath1245.53054OpenAlexW1967586270MaRDI QIDQ441216

J. Herrera, H. S. Yoon

Publication date: 20 August 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2012.06.003

zbMATH Keywords

Laplace-Beltrami operatorFinsler spaceswarped productsconstant flag curvatureSasaki-Finsler metrics

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (8)

Finsler differential geometry in continuum mechanics: Fundamental concepts, history, and renewed application to ferromagnetic solids ⋮ On Finsler warped product metrics with special curvatures properties ⋮ \(S\)-curvature of doubly warped product of Finsler manifolds ⋮ On Landsberg Warped Product Metrics ⋮ A class of metrics and foliations on tangent bundle of Finsler manifolds ⋮ Finsler geometry of nonlinear elastic solids with internal structure ⋮ Complex Einstein-Finsler doubly twisted product metrics ⋮ On Doubly Twisted Product of Complex Finsler Manifolds

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