Overview

This text gives the most recent results in Finsler and related geometries from the Miron school. Both pure and applied topics are covered. For example Higher-Order geometry, Hamilton and Cartan spaces, Legendre transformations, self-duality in Gauge fields, constant curvature spaces, Electromagnetics, Gravity theory, Black Holes, complex Finsler geometry and Finsler-Lagrange-Hamilton structures in control and optimization. There is also an article on Finsler Seismic ray theory which uses the software FINSLER based on MAPLE.

Full Product Details

Author:   Mihai Anastasiei ,  P.L. Antonelli
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2003
Dimensions:   Width: 15.50cm , Height: 1.80cm , Length: 23.50cm
Weight:   0.522kg
ISBN:  

9789048163250

ISBN 10:   9048163250
Pages:   324
Publication Date:   01 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Section 1. Lagrange and Hamilton Geometry and Applications in Control.- Curvature tensors on complex Lagrange spaces.- Symplectic structures and Lagrange geometry.- A geometrical foundation for Seismic ray theory based on modern Finsler geometry.- On a problem of M. Matsumoto and Z. Shen.- Metrical homogeneous 2 — ? structures determined by a Finsler metric in tangent bundle.- Nonholonomic frames for Finsler spaces with (?, ?) metrics.- Invariant submanifolds of a Kenmotsu manifold.- The Gaussian curvature for the indicatrix of a generalized Lagrange space.- Infinitesimal projective transformations on tangent bundles.- Conformal transformations in Finsler geometry.- Induced vector fields in a hypersurface of Riemannian tangent bundles.- On a normal cosymplectic manifold.- The almost Hermitian structures determined by the Riemannian structures on the tangent bundle.- On the semispray of nonlinear connections in rheonomic Lagrange geometry.- ?dual complex Lagrange and Hamilton spaces.- Dirac operators on holomorphic bundles.- The generalised singular Finsler spaces.- n-order dynamical systems and associated geometrical structures.- The variational problem for Finsler spaces with (?, ?) — metric.- On projectively flat Finsler spheres (Remarks on a theorem of R.L. Bryant).- On the corrected form of an old result:necessary and sufficient conditions of a Randers space to be of constant curvature.- On the almost Finslerian Lagrange space of second order with (?, ?) metric.- Remarkable natural almost parakaehlerian structures on the tangent bundle.- Intrinsic geometrization of the variational Hamiltonian calculus.- Finsler spaces of Riemann-Minkowski type.- Finsler- Lagrange- Hamilton structures associated to control systems.- Preface Section 2.- Section 2.Applications to Physics.- Contraforms on pseudo-Riemannian manifolds.- Finslerian (?, ?)—metrics in weak gravitational models.- Applications of adapted frames to the geometry of black holes.- Implications of homogeneity in Miron’s sense in gauge theories of second order.- The free geodesic connection and applications to physical field theories.- The geometry of non-inertial frames.- Self-duality equations for gauge theories.

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