La relativita generale proiettiva ed il campo scalare tensoriale.
La relativita generale proiettiva ed il campo tensoriale-vettoriale.
La série discrète de et les opérateurs pseudo-différentiels sur une demi-droite
La transformation de Radon analytique en codimension 1
La trilogie du moment
A toute deux-forme fermée, sur une variété connexe, on associe une famille d’extensions centrales du groupe de ses automorphismes par son tore des périodes. On discute ensuite quelques propriétés de cette construction.
Lagrange functions generating Poisson manifolds of geodesic arcs
Let a smooth finite-dimensional manifold and the manifold of geodesic arcs of a symmetric linear connection on . In a previous paper [Differential Geometry and Applications (Brno, 1995) 603-610 (1996; Zbl 0859.58011)] the author introduces and studies the Poisson manifolds of geodesic arcs, i.e. manifolds of geodesic arcs equipped with certain Poisson structure. In this paper the author obtains necessary and sufficient conditions for that a given Lagrange function generates a Poisson manifold...
Lagrange geometry on tangent manifolds.
Lagrange geometry via complex Lagrange geometry.
Lagrange spaces with indicatrices as constant mean curvature surfaces or minimal surfaces.
Lagrange spaces with -metric.
Lagrangian fibrations on hyperkähler manifolds – On a question of Beauville
Let be a compact hyperkähler manifold containing a complex torus as a Lagrangian subvariety. Beauville posed the question whether admits a Lagrangian fibration with fibre . We show that this is indeed the case if is not projective. If is projective we find an almost holomorphic Lagrangian fibration with fibre under additional assumptions on the pair , which can be formulated in topological or deformation-theoretic terms. Moreover, we show that for any such almost holomorphic Lagrangian...
Lagrangian holonomy ; characteristic elements of a lagrangian foliation
Let be a lagrangian foliation on a symplectic manifold . The characteristic elements of such a foliation associated to a lagrangian total transversal are obtained; they are a generalisation of the characteristic elements given by J.J. Duistermaat [5]. This technique is applied to give a classification of the germs of lagrangian foliation along a compact leaf. Several examples of classification are given.
Lagrangian Intersections in Contact Geometry.
Lagrangian submanifolds of quaternion Kaehlerian manifolds satisfying Chen's equality.
Lagrangians and Euler morphisms on fibered-fibered frame bundles from projectable-projectable classical linear connections
We classify all F2Mm1, m2, n1, n2-natural operators Atransforming projectable-projectable torsion-free classical linear connections ∇ on fibered-fibered manifolds Y of dimension (m1,m2, n1, n2) into rth order Lagrangians A(∇) on the fibered-fibered linear frame bundle Lfib-fib(Y) on Y. Moreover, we classify all F2Mm1, m2, n1, n2-natural operators B transforming projectable-projectable torsion-free classical linear connections ∇ on fiberedfibered manifolds Y of dimension (m1, m2, n1, n2) into Euler...
Lagrangians and hamiltonians on affine bundles and higher order geometry
The higher order bundles defined by an anchored bundle are constructed as a natural extension of the higher tangent spaces of a manifold. We prove that a hyperregular lagrangian (hyperregular affine hamiltonian) is a linearizable sub-lagrangian (affine sub-hamiltonian) on a suitable Legendre triple.
Lagrangians and higher order tangent spaces.
Laguerresche Differentialgeometrie und Kinematik
In this paper the plane Laguerre’s geometry in the augmented plane of dual numbers is presented. Basic integral and differential invariants of -curves in the plane are deduced, i.e. the -curve arc, -curvature, -minimal curves, -circle. Furthermore the contact of -curves, -osculating circle, -evolute of a curve and some special -motions are studied from the point of view of -Differential geometry.
L'aire systolique conforme des groupes cristallographiques du plan
Nous établissons des inégalités isosystoliques optimales pour les 17 orbifolds plates en dimension 2 (analogues à l’inégalité classique de Loewner pour le tore), ainsi que pour les quotients du plan hyperbolique par les groupes du triangle.
Laminations et hypersurfaces géodésiques des variétés hyperboliques