Introduction to Matsumoto metric

DOI10.1016/j.na.2005.02.062zbMath1154.53309OpenAlexW2024562537MaRDI QIDQ999508

Hideo Shimada, Vasile Sorin Sabau

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.02.062

zbMATH Keywords

Finsler geometryBerwald spaceMatsumoto metric

Mathematics Subject Classification ID

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

Related Items (16)

Retracted article: A family of Finsler metrics projectively related to a Randers metric ⋮ On a class of Ricci-quadratic Finsler metrics ⋮ Locally dually flatness and locally projectively flatness of Matsumoto change with m-th root Finsler metrics ⋮ Projective vector fields on special (α,β)-metrics ⋮ On Matsumoto-type Finsler metrics ⋮ A Finsler geodesic spray paradigm for wildfire spread modelling ⋮ An account on links between Finsler and Lorentz geometries for Riemannian geometers ⋮ A General Model for Wildfire Propagation with Wind and Slope ⋮ The slope-of-a-mountain problem in a cross gravitational wind ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On a hypersurface of a Finsler space with Randers change of Matsumoto metric ⋮ Time-optimal solutions of parallel navigation and Finsler geodesics ⋮ Pure pursuit navigation on Riemannian manifolds ⋮ Time geodesics on a slippery slope under gravitational wind

Cites Work

• Unnamed Item
• A slope of a mountain is a Finsler surface with respect to a time measure
• The theory of sprays and Finsler spaces with applications in physics and biology
• Theory of Finsler spaces with \((\alpha,\beta)\)-metric

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