Titlebook: Lagrange and Finsler Geometry; Applications to Phys P. L. Antonelli,R. Miron Book 1996 Springer Science+Business Media B.V. 1996 Finsler ge

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Some Remarks on Automorphisms of Finsler Bundlesnsler vector bundles, and investigate their actions on Finsler connections. It must be noted that our present study is a special case of a general theory, since Finsler bundles or Finsler vector bundles are defined as special fiber bundles over the tangent bundle of the base manifold (cf. Kirkovits-Otsuji-Aikou [4], Otsuji [7]).

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Offensive

Phase Portraits and Critical Elements of Magnetic Fields Generated by a Piecewise Rectilinear Electres. §4 presents computer experiments. In §5, the associated magnetic field lines are shown to be solutions of a potential conservative system, and also geodesics for a certain Riemannian metric on the space surrounding the wires.

GRUEL

A New Class Of Spray-Generating Lagrangians approximation. Accordingly, in [1] and in the present paper we have undertaken to investigate the differential geometry of a class of cost functionals giving rise to a fixed predetermined (Finsler) production process. In future works we shall investigate diffusional effects in these cases.

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Deviations of Geodesics in Fibered Finslerian Approachinear connection, a (., .) metric and a . — connection. In §2 the generalized equations of stationary curves for G.S. Asanov’s Lagrangian [1, 2] and for the classical one are derived, and in §3 the equations for deviations of geodesics for the given context are obtained in brief and explicit form. §

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A New Class Of Spray-Generating Lagrangiansnge equations for a cost-functional .. Then arc-length, ., is defined and can be interpretted as total production under cost-effective conditions (i.e. optimality), [4], [6]. However, costs have usually been assumed linearly related to total biomass production, although this is often only true as an

Initial

Some Remarks on Automorphisms of Finsler Bundlesorphism preserves a Finsler connection. In this note, suggested by M. Matsumoto [5], we also study the gauge transformations of Finsler bundles and Finsler vector bundles, and investigate their actions on Finsler connections. It must be noted that our present study is a special case of a general the

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