Mainfolds with small excess and bounded curvature.
Manifolds carrying bounded quasiharmonic but no bounded harmonic functions.
Manifolds of almost nonnegative curvature
Manifolds with Geodesic Chords of Constant Length.
Manifolds with wells of negative curvature (with an Appendix by Daniel Ruberman).
Manifolds without Conjugate Points.
Mean curvature comparison for tubular hypersurfaces in Kähler manifolds and some applications
Mesure harmonique et mesure de Bowen-Margulis
Metric Circles and Bisectors.
Metric Perspectives of the Ricci Flow Applied to Disjoint Unions
In this paper we consider compact, Riemannian manifolds M1, M2 each equipped with a oneparameter family of metrics g1(t), g2(t) satisfying the Ricci flow equation. Adopting the characterization of super-solutions to the Ricci flow developed by McCann-Topping, we define a super Ricci flow for a family of distance metrics defined on the disjoint union M1 ⊔ M2. In particular, we show such a super Ricci flow property holds provided the distance function between points in M1 and M2 is itself a super...
Metric Ricci Curvature and Flow for PL Manifolds
We summarize here the main ideas and results of our papers [28], [14], as presented at the 2013 CIRM Meeting on Discrete curvature and we augment these by bringing up an application of one of our main results, namely to solving a problem regarding cube complexes.
Metric with ergodic geodesic flow is completely determined by unparameterized geodesics.
Metrics of Positive Ricci Curvature with Large Diameter.
Metrics of Positive Scalar Curvature on Spheres and the Gromov-Lawson Conjecture.
Minimal surfaces and 3-manifolds of non-negative Ricci curvature.
Minimalflächen mit freiem Rand in Riemannschen Mannigfaltigkeiten.
Minoration de la première valeur propre non nulle du problème de Neumann sur les variétés riemanniennes à bord
On établit une minoration pour la première valeur propre non nulle du problème de Neumann sur les variétés riemanniennes à bord; la nécessité des bornes géométriques utilisées est illustrée par une série d’exemples. Cette approche prolonge celle de Li-Yau, qui était limitée à l’étude du cas où le bord est convexe.
Minorations sur le des variétés riemanniennes
More on convolution of Riemannian manifolds.
Multiplicité de petites valeurs propres du laplacien