Positively curved combinatorial 3-manifolds.
Poznámka k symetrickej konexii na dotykovom a kodotykovom bandli
Precompactness of solutions to the Ricci flow in the absence of injectivity radius estimates.
Preferred parameterisations on homogeneous curves
We show how to specify preferred parameterisations on a homogeneous curve in an arbitrary homogeneous space. We apply these results to limit the natural parameters on distinguished curves in parabolic geometries.
Première valeur propre du laplacien et volume des sphères riemanniennes
Premières formes de Chern des variétés kählériennes compactes
Prescribed mean curvature hypersurfaces in with convex planar boundary, II
Prescribing a fourth order conformal invariant on the standard sphere, part II : blow up analysis and applications
In this paper we perform a fine blow up analysis for a fourth order elliptic equation involving critical Sobolev exponent, related to the prescription of some conformal invariant on the standard sphere . We derive from this analysis some a priori estimates in dimension and . On these a priori estimates, combined with the perturbation result in the first part of the present work, allow us to obtain some existence result using a continuity method. On we prove the existence of at least one...
Prescribing curvature on open surfaces.
Prescribing Gauss curvature of surfaces in 3-dimensional spacetimes Application to the Minkowski problem in the Minkowski space
We study the existence of surfaces with constant or prescribed Gauss curvature in certain Lorentzian spacetimes. We prove in particular that every (non-elementary) 3-dimensional maximal globally hyperbolic spatially compact spacetime with constant non-negative curvature is foliated by compact spacelike surfaces with constant Gauss curvature. In the constant negative curvature case, such a foliation exists outside the convex core. The existence of these foliations, together with a theorem of C. Gerhardt,...
Prescribing growth type of complete Riemannian manifolds of bounded geometry
We describe certain properties of growth types of nondecreasing sequences. We build a complete, connected Riemannian surface of bounded geometry and of a given growth type provided that the type satisfies some natural conditions.
Prescribing mean curvature: existence and uniqueness problems.
Prescribing -curvature on higher dimensional spheres
We study the problem of prescribing a fourth order conformal invariant on higher dimensional spheres. Particular attention is paid to the blow-up points, i.e. the critical points at infinity of the corresponding variational problem. Using topological tools and a careful analysis of the gradient flow lines in the neighborhood of such critical points at infinity, we prove some existence results.
Prescription de la forme volume
Presymplectic lagrangian systems. I : the constraint algorithm and the equivalence theorem
Presymplectic lagrangian systems. II : the second-order equation problem
Preuve de la conjecture de Poincaré en déformant la métrique par la courbure de Ricci
Nous présentons la preuve de la conjecture de Poincaré, concernant les variétés compactes simplement connexes de dimension , proposée par G. Perel’man. Elle repose sur l’étude de l’évolution de métriques riemanniennes sous le flot de la courbure de Ricci et sur les travaux antérieurs de R. Hamilton. Après une introduction aux techniques analytiques et géométriques développées par R. Hamilton, nous tentons de décrire la méthode de chirurgie métrique utilisée par G. Perel’man pour franchir les temps...
Prevalence of non-Lipschitz Anosov foliations.
Prime geodesic theorem.
Principal bundles, groupoids, and connections
We clarify in which precise sense the theory of principal bundles and the theory of groupoids are equivalent; and how this equivalence of theories, in the differentiable case, reflects itself in the theory of connections. The method used is that of synthetic differential geometry.