Distinguished linear connections in the Einstein-Schrödinger geometry of the second order.
Distributions on spray spaces.
Doubly warped product Finsler manifolds with some non-Riemannian curvature properties
We consider doubly warped product (DWP) Finsler manifolds with some non-Riemannian curvature properties. First, we study Berwald and isotropic mean Berwald DWP-Finsler manifolds. Then we prove that every proper Douglas DWP-Finsler manifold is Riemannian. We show that a proper DWP-manifold is Landsbergian if and only if it is Berwaldian. Then we prove that every relatively isotropic Landsberg DWP-manifold is a Landsberg manifold. We show that a relatively isotropic mean Landsberg warped product manifold...
Einstein equations for -Berwald-Moor relativistic models.
Einstein-Yang Mills equations for gauge transformations of second order.
Erratum : «Tores finslériens sans points conjugués»
Espaces variationnels et mécanique
Ce travail est essentiellement consacré aux systèmes dynamiques non conservatifs, la force généralisée dépendant à la fois des paramètres de position et de vitesse . désignant l’espace-temps de configuration, l’espace fibré des vecteurs tangents, celui des directions tangentes à , on caractérise par son lagrangien homogène et le tenseur-force antisymétrique dont le produit contracté par le vecteur vitesse donne le vecteur force généralisé.Dans la première partie, on étudie l’algèbre...
Exempls of conics arising in two-dimensional Finsler and Lagrange geometries.
Extremal subspaces in an areal space
Fastriemannsche Finslersche Metriken.
Finitude géométrique en géométrie de Hilbert
On étudie la notion de finitude géométrique pour certaines géométries de Hilbert définies par un ouvert strictement convexe à bord de classe .La définition dans le cadre des espaces Gromov-hyperboliques fait intervenir l’action du groupe discret considéré sur le bord de l’espace. On montre, en construisant explicitement un contre-exemple, que cette définition doit être renforcée pour obtenir des définitions équivalentes en termes de la géométrie de l’orbifold quotient, similaires à celles obtenues...
Finsler Conformal Lichnerowicz-Obata conjecture
We prove the Finsler analog of the conformal Lichnerowicz-Obata conjecture showing that a complete and essential conformal vector field on a non-Riemannian Finsler manifold is a homothetic vector field of a Minkowski metric.
Finsler connections in generalized Lagrange spaces.
Finsler metrics of scalar flag curvature and projective invariants.
Finsler metrics with propierties of the Kobayashi metric on convex domains.
The structure of complex Finsler manifolds is studied when the Finsler metric has the property of the Kobayashi metric on convex domains: (real) geodesics locally extend to complex curves (extremal disks). It is shown that this property of the Finsler metric induces a complex foliation of the cotangent space closely related to geodesics. Each geodesic of the metric is then shown to have a unique extension to a maximal totally geodesic complex curve Σ which has properties of extremal disks. Under...
Finsler Structures of Negative Curvature in ...-Linear Fibre Spaces.
Forced anisotropic mean curvature flow of graphs in relative geometry
The paper is concerned with the graph formulation of forced anisotropic mean curvature flow in the context of the heteroepitaxial growth of quantum dots. The problem is generalized by including anisotropy by means of Finsler metrics. A semi-discrete numerical scheme based on the method of lines is presented. Computational results with various anisotropy settings are shown and discussed.
From Euler-Lagrange equations to canonical nonlinear connections
The aim of this paper is to construct a canonical nonlinear connection on the 1-jet space from the Euler-Lagrange equations of the quadratic multi-time Lagrangian function
From Finsler geometry to noncommutative geometry.
From first order PDE-systems to harmonic maps between generalized Lagrange spaces.