De nouvelles formules de Weitzenböck pour des endomorphismes harmoniques. Applications géométriques
Deformation to Positive Scalar Curvature on Complete Manifolds.
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.
Der Indexsatz für geschlossene Geodätische.
Des métriques finslériennes sur le disque à partir d'une fonction distance entre les points.
Des questions de stabilité
Determination of the topological structure of an orbifold by its group of orbifold diffeomorphisms.
Diameter bounds for convex surfaces with pinched mean curvature.
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...
Diffeomorphism Finiteness for Manifolds with Ricci Curvature and Ln/2-norm of Curvature Bounded.
Differentiable maps into riemannian manifolds of constant stable osculating rank. II. (Frenet-Theory).
Differentiable maps into riemannian manifolds of constant stable osculating rank. I.
Differentiable sphere theorems for Ricci curvature.
Differential geometry of geodesic spheres.
Differential Inequlities on Complete Riemannian Manifolds and Applications.
Dirac and Plateau billiards in domains with corners
Groping our way toward a theory of singular spaces with positive scalar curvatures we look at the Dirac operator and a generalized Plateau problem in Riemannian manifolds with corners. Using these, we prove that the set of C 2-smooth Riemannian metrics g on a smooth manifold X, such that scalg(x) ≥ κ(x), is closed under C 0-limits of Riemannian metrics for all continuous functions κ on X. Apart from that our progress is limited but we formulate many conjectures. All along, we emphasize geometry,...
Dirac operators on hypersurfaces
In this paper some relation among the Dirac operator on a Riemannian spin-manifold , its projection on some embedded hypersurface and the Dirac operator on with respect to the induced (called standard) spin structure are given.
Dirichlet regions in manifolds without conjugate points.
Discreteness Conditions for the Laplacian on Complete, Non-Compact Riemannian Manifolds.
Diskrete Gruppen und die Geometrie der Repèrebündel.