New Developments in Differential Geometry -

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Résumé :
Hypercomplex Structures on Quaternionic Manifolds.- Time Inversion in Physics.- Non Commutative Geometry of GLp-Bundles.- Totally Umbilical Degenerate Monge Hypersurfaces of R42.- The Left Exactness of the Smooth Left Puppe Sequence.- A Linear Connection Associated with Any Second Order Differential Equation Field.- Geometry of Geodesic Tubes on Sasakian Manifolds.- Classification of Differential (n-l)-forms on an n-dimensional Manifold with Boundary.- Natural Relations between Connections in 2-fibred Manifolds.- Connections on Higher Order Frame Bundles.- The Differential Geometry of Cosserat Media.- The Parametric-Manifold Approach to Canonical Gravity.- Admissible Operations and Product Preserving Functors.- Curvature Properties of Para K?hler Manifolds.- Four Dimensional Osserman Lorentzian Manifolds.- The Eta Invariant and the Equivariant Spin Bordism of Spherical Space form 2 Groups.- On Locally Conformal K?hler Structures.- Torsion-Free Connections on Higher Order Frame Bundles.- The Trace Decomposition of Tensors of Type (1,2) and (1,3).- Higher-Order Constrained Systems on Fibred Manifolds: An Exterior Differential Systems Approach.- The Method of Separation of Variables for Laplace-Beltrami Equation in Semi-Riemannian Geometry.- A Geometrical Approach to Classical Field Theories: A Constraint Algorithm for Singular Theories.- Noether Type Theorems in Higher Order Analytical Mechanics.- The Electromagnetic Field in the Higher Order Relativistic Geometrical Optics.- On a Riemannian Approach to the Order ? Relative Entropy.- A Differential Equation Related with Some General Connections.- On Quasi Connections on Fibred Manifolds.- Diffeomorphism Groups of a Manifold with Boundary.- Separability of Time-Dependent Second-Order Equations.- The Field Equations ofGeneralized Conformally Flat Spaces of Metric g?v (x,?,?)=e2?(x, ?, ?)??v.- Symmetries of Sprays and Admissible Lagrangians.- Curvature of Submanifolds in Points Finsler Spaces.- Special Vector Fields on a Compact Riemannian Manifold.- Magnetic Dynamical Systems.- Totally Geodesic Orbits in Homogeneous Spaces.- Parallel and Transnormal Curves on Surfaces....

Sommaire:
Hypercomplex Structures on Quaternionic Manifolds.- Time Inversion in Physics.- Non Commutative Geometry of GLp-Bundles.- Totally Umbilical Degenerate Monge Hypersurfaces of R42.- The Left Exactness of the Smooth Left Puppe Sequence.- A Linear Connection Associated with Any Second Order Differential Equation Field.- Geometry of Geodesic Tubes on Sasakian Manifolds.- Classification of Differential (n-l)-forms on an n-dimensional Manifold with Boundary.- Natural Relations between Connections in 2-fibred Manifolds.- Connections on Higher Order Frame Bundles.- The Differential Geometry of Cosserat Media.- The Parametric-Manifold Approach to Canonical Gravity.- Admissible Operations and Product Preserving Functors.- Curvature Properties of Para K?hler Manifolds.- Four Dimensional Osserman Lorentzian Manifolds.- The Eta Invariant and the Equivariant Spin Bordism of Spherical Space form 2 Groups.- On Locally Conformal K?hler Structures.- Torsion-Free Connections on Higher Order Frame Bundles.- The Trace Decomposition of Tensors of Type (1,2) and (1,3).- Higher-Order Constrained Systems on Fibred Manifolds: An Exterior Differential Systems Approach.- The Method of Separation of Variables for Laplace-Beltrami Equation in Semi-Riemannian Geometry.- A Geometrical Approach to Classical Field Theories: A Constraint Algorithm for Singular Theories.- Noether Type Theorems in Higher Order Analytical Mechanics.- The Electromagnetic Field in the Higher Order Relativistic Geometrical Optics.- On a Riemannian Approach to the Order ? Relative Entropy.- A Differential Equation Related with Some General Connections.- On Quasi Connections on Fibred Manifolds.- Diffeomorphism Groups of a Manifold with Boundary.- Separability of Time-Dependent Second-Order Equations.- The Field Equations ofGeneralized Conformally Flat Spaces of Metric g?v (x,?,?)=e2?(x, ?, ?)??v.- Symmetries of Sprays and Admissible Lagrangians.- Curvature of Submanifolds in Points Finsler Spaces.- Special Vector Fields on a Compact Riemannian Manifold.- Magnetic Dynamical Systems.- Totally Geodesic Orbits in Homogeneous Spaces.- Parallel and Transnormal Curves on Surfaces.