Lagrange and Finsler Geometry: Applications to Physics and Biology (Fundamental Theories of Physics, 76, Band 76) - Hardcover

Hardcover

ISBN 10: 0792338731 ISBN 13: 9780792338734

Verlag: Springer, 1995

Inhaltsangabe

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.

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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. The present collection of papers will serve to bring the reader up-to-date on the most recent advances. Subjects treated include higher order Lagrange geometry, the recent theory of (phi)-Lagrange manifolds, electromagnetic theory and neurophysiology. This book is recommended as a (supplementary) text in graduate courses in differential geometry and its applications, and will also be of interest to physicists and mathematical biologists.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 1995
• Sprache: Englisch
• ISBN 10: 0792338731
• ISBN 13: 9780792338734
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 290
• Herausgeber: Antonelli P.L., Miron R.
• Kontakt zum Hersteller: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Deutschland