Overview

The differential geometry of a regular Lagrangian is more involved than that of classical kinetic energy and consequently is far from being Riemannian. Nevertheless, such geometries are playing an increasingly important role in a wide variety of problems in fields ranging from relativistic optics to ecology. Subjects treated include higher order Lagrange geometry, the recent theory of O-Lagrange manifolds, electromagnetic theory and neurophysiology.

Full Product Details

Author:   P. L. Antonelli ,  R. Miron
Publisher:   Springer
Imprint:   Springer
Edition:   1996 ed.
Volume:   76
Dimensions:   Width: 15.60cm , Height: 1.70cm , Length: 23.40cm
Weight:   1.320kg
ISBN:  

9780792338734

ISBN 10:   0792338731
Pages:   280
Publication Date:   31 December 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

On Deflection Tensor Field in Lagrange Geometrics.- The Differential Geometry of Lagrangians which Generate Sprays.- Partial Nondegenerate Finsler Spaces.- Randers and Kropina Spaces in Geodesic Correspondence.- Deviations of Geodesics in the Fibered Finslerian Approach.- Sasakian Structures on Finsler Manifolds.- A New Class of Spray-Generating Lagranians.- Some Remarks on Automorphisms of Finsler Bundles.- On Construction of Landsbergian Characteristic Subalgebra.- Conservation Laws of Dynamical Systems via Lagrangians of Second Degree.- General Randers Spaces.- Conservation Laws Associated to Some Dynamical Systems.- Biodynamic Systems and Conservation Laws. Applications to Neuronal Systems.- Computational Methods in Lagrange Geometry.- Phase Portraits and Critical Elements of Magnetic Fields Generated by a Piecewise Rectilinear Electric Circuit.- Killing Equations in Tangent Bundle.- Lebesgue Measure and Regular Mappings in Finsler Spaces.- On a Finsler Metric Derived from Ecology.- A Moor’s Tensorial Integration in Generalized Lagrange Spaces.- The Lagrange Formalism Used in the Modelling of “Finite Range” Gravity.- On the Quantization of the Complex Scalar Fields in S3xR Space-Time.- Nearly Autoparallel Maps of Lagrange and Finsler Spaces.- Applications of Lagrange Spaces to Physics.- On the Differential Geometry of Nonlocalized Field Theory: Poincaré Gravity.

Reviews

' ... good insight into the current state-of-the-art of Finsler and Lagrange geometries. The volume has the following three main audiences: differential geometers, relativists, and workers in Lagrange dynamics. ... can be recommended as a supplementary and more specialized text in the above mentioned topics.' General Relativity and Gravitation, 29:9 (1997)

` ... good insight into the current state-of-the-art of Finsler and Lagrange geometries. The volume has the following three main audiences: differential geometers, relativists, and workers in Lagrange dynamics. ... can be recommended as a supplementary and more specialized text in the above mentioned topics.' General Relativity and Gravitation, 29:9 (1997)

... good insight into the current state-of-the-art of Finsler and Lagrange geometries. The volume has the following three main audiences: differential geometers, relativists, and workers in Lagrange dynamics. ... can be recommended as a supplementary and more specialized text in the above mentioned topics.' General Relativity and Gravitation, 29: 9 (1997)

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