Finsler and Lagrange Geometries

Proceedings of a Conference held on August 26–31, Iaşi, Romania

Häftad, Engelska, 2010

AvMihai Anastasiei,P.L. Antonelli,P. L. Antonelli

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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.

Produktinformation

Utgivningsdatum2010-12-01
Mått155 x 235 x 19 mm
Vikt517 g
FormatHäftad
SpråkEngelska
Antal sidor324
FörlagSpringer
ISBN9789048163250

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Matematisk fysik inom Naturvetenskap och teknik
Geovetenskap inom Naturvetenskap och teknik
Geologi inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Optimering inom Naturvetenskap och teknik

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.