Lagrange and Finsler Geometry: Applications to Physics and Biology [Hardcover]

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 Moors 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: Poincar? Gravity.` ... 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)