Dans le fibré de l'espace des lacets libres, la fibre n'est pas, en général, totalement non cohomologue a zéro.
Deformations of Metrics and Biharmonic Maps
We construct biharmonic non-harmonic maps between Riemannian manifolds and by first making the ansatz that be a harmonic map and then deforming the metric on by to render biharmonic, where is a smooth function with gradient of constant norm on and . We construct new examples of biharmonic non-harmonic maps, and we characterize the biharmonicity of some curves on Riemannian manifolds.
Dénombrement des géodésiques fermées sur certaines variétés avec pointes
Des métriques finslériennes sur le disque à partir d'une fonction distance entre les points.
Determination of metrics by boundary energy.
Deux généralisation du «théorèm des trois cercles» de Hadamard.
Deviations of stationary curves in the bundle .
Diastolic and isoperimetric inequalities on surfaces
We prove a universal inequality between the diastole, defined using a minimax process on the one-cycle space, and the area of closed Riemannian surfaces. Roughly speaking, we show that any closed Riemannian surface can be swept out by a family of multi-loops whose lengths are bounded in terms of the area of the surface. This diastolic inequality, which relies on an upper bound on Cheeger’s constant, yields an effective process to find short closed geodesics on the two-sphere, for instance. We deduce...
Dichtepunkte im Spektrum Riemannscher Flächen.
Die Parametrisierung des Teichmüllerraumes durch geodätische Längenfunktionen.
Diffeomorphisms of the Circle and Geodesic Fields on Riemannian Surfaces of Genus One.
Differential-geometrical conditions between geodesic curves and ruled surfaces in the Lorentz space.
Dirichlet points, Garnett points, and infinite ends of hyperbolic surfaces. I.
Discrete periodic geodesics in a surface.
Distance formulas in complex hyperbolic space.
Distinguished geodesics and jacobi fields on first order jet spaces
In the framework of jet spaces endowed with a non-linear connection, the special curves of these spaces (h-paths, v-paths, stationary curves and geodesics) which extend the corresponding notions from Riemannian geometry are characterized. The main geometric objects and the paths are described and, in the case when the vertical metric is independent of fiber coordinates, the first two variations of energy and the extended Jacobi field equations are derived.
Distribution of closed geodesics on the modular surface and quadratic irrationals