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" Finsler and Lagrange Geometries : "
edited by M. Anastasiei, P.L. Antonelli.
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BL
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| Record Number
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772047
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b592040
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| Main Entry
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edited by M. Anastasiei, P.L. Antonelli.
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| Title & Author
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Finsler and Lagrange Geometries : : Proceedings of a Conference held on August 26-31, Iaşi, Romania\ edited by M. Anastasiei, P.L. Antonelli.
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| Publication Statement
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Dordrecht : Springer Netherlands : Imprint : Springer, 2003
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| Page. NO
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(XV, 322 pages)
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| ISBN
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9048163250
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: 9401704058
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: 9789048163250
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: 9789401704052
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| Contents
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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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| Abstract
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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.
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Geography.
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Geology, Economic.
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Global differential geometry.
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| LC Classification
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QA689.E358 2003
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| Added Entry
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M Anastasiei
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P L Antonelli
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| Parallel Title
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Proceedings of a Conference held on August 26-31, 2001, in Iasi, Romania
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