Pincement sur le spectre et le volume en courbure de Ricci positive
Pinching constants for hyperbolic manifolds.
Pinching Implies Strong Pinching
Pinching Theorem for the First Eigenvalue on Positively Curved Manifolds.
Pinching Theorem for the First Eigenvalue on Positively Curved Four Manifolds.
Pinwheels and bypasses.
Planar Geodesic Immersions in Pseudo-Euclidean Space.
Planar normal sections on the natural embedding of a real flag manifold.
Planes with analogues to Euclidean angular bisectors.
Plateau-Stein manifolds
We study/construct (proper and non-proper) Morse functions f on complete Riemannian manifolds X such that the hypersurfaces f(x) = t for all −∞ < t < +∞ have positive mean curvatures at all non-critical points x ∈ X of f. We show, for instance, that if X admits no such (not necessarily proper) function, then it contains a (possibly, singular) complete (possibly, compact) minimal hypersurface of finite volume.
Platonic triangles of groups.
Plongement isométrique de la sphère à courbure non négative dans
Plongements bilipschitziens dans les espaces euclidiens, -courbure et flot quasi-conforme
Soit la métrique riemannienne standard sur et soit une déformation conforme lisse de . Nous présentons une condition suffisante en terme de -courbure pour que la variété se plonge de façon bilipschitzienne, en tant qu’espace métrique, dans . Ce théorème du à Bonk, Heinonen et Saksman découle d’un résultat lié au problème du jacobien quasiconforme.
Plongements d'espaces symétriques algébriques : une classification
Plongements radiaux à courbure de Gauss positive prescrite
Pluri-canonical divisors on Kähler manifolds.
Pluriclosed flow on manifolds with globally generated bundles
We show global existence and convergence results for the pluriclosed flow on manifolds for which certain naturally associated tensor bundles are globally generated.
Poincaré series and negatively curved manifolds.
Poincaré-invariant structures in the solution manifold of a nonlinear wave equation.
The solution manifold M of the equation ⎯φ + gφ3 = 0 in Minkowski space is studied from the standpoint of the establishment of differential-geometric structures therein. It is shown that there is an almost Kähler structure globally defined on M that is Poincaré invariant. In the vanishing curvature case g = 0 the structure obtained coincides with the complex Hilbert structure in the solution manifold of the real wave equation. The proofs are based on the transfer of the equation to an ambient universal...
Pointed -surfaces
Let be a Riemann surface. Let be the -dimensional hyperbolic space and let be its ideal boundary. In our context, a Plateau problem is a locally holomorphic mapping . If is a convex immersion, and if is its exterior normal vector field, we define the Gauss lifting, , of by . Let be the Gauss-Minkowski mapping. A solution to the Plateau problem is a convex immersion of constant Gaussian curvature equal to such that the Gauss lifting is complete and . In this paper, we show...