Add to ORKGLet $M$ be an open Riemannian $n$-manifold with nonnegative Ricci curvature. We prove that if the first Betti number of $M$ equals $n-1$, then $M$ is flat
We investigate the rigidity problem for the sharp spectral gap on Finsler manifolds of weighted Ricc...
AbstractWe will characterize the fundamental groups of compact manifolds of (almost) nonnegative Ric...
Let (M, g) be an n−dimensional complete open Riemannian manifold with nonnegative Ricci curvature v...
We show that the first betti number of a compact Riemannian orbifold with Ricci curvature and diamet...
(Communicated by C hrb;topher Croke) ABSTRACT. We show that the first betti number b1 (0) = d im H ...
We show two stability results for a closed Riemannian manifold whose Ricci curvature is small in the...
We prove a weighted Sobolev inequality and a Hardy inequality on manifolds with nonnegative Ricci cu...
Let M be an n-dimensional complete Riemannian manifold, we investigate the geometric nature of such...
AbstractLet M be a complete non-compact connected Riemannian n-dimensional manifold. We first prove ...
“This is the accepted version of the following article: Luis Guijarro and Frederick Wilhelm, Focal r...
We prove an upper bound on the rank of the abelianised revised fundamental group (called "revised fi...
The behaviour of the Ricci curvature along rays in a complete open manifold is examined
We give the first example of an open manifold with positive Ricci curvature and a non-proper Buseman...
International audienceWe show that complete $n$-manifolds whose part of Ricci curvature less than a ...
AbstractWe consider the relations between the Busemann function and the distance function of an open...
We investigate the rigidity problem for the sharp spectral gap on Finsler manifolds of weighted Ricc...
AbstractWe will characterize the fundamental groups of compact manifolds of (almost) nonnegative Ric...
Let (M, g) be an n−dimensional complete open Riemannian manifold with nonnegative Ricci curvature v...
We show that the first betti number of a compact Riemannian orbifold with Ricci curvature and diamet...
(Communicated by C hrb;topher Croke) ABSTRACT. We show that the first betti number b1 (0) = d im H ...
We show two stability results for a closed Riemannian manifold whose Ricci curvature is small in the...
We prove a weighted Sobolev inequality and a Hardy inequality on manifolds with nonnegative Ricci cu...
Let M be an n-dimensional complete Riemannian manifold, we investigate the geometric nature of such...
AbstractLet M be a complete non-compact connected Riemannian n-dimensional manifold. We first prove ...
“This is the accepted version of the following article: Luis Guijarro and Frederick Wilhelm, Focal r...
We prove an upper bound on the rank of the abelianised revised fundamental group (called "revised fi...
The behaviour of the Ricci curvature along rays in a complete open manifold is examined
We give the first example of an open manifold with positive Ricci curvature and a non-proper Buseman...
International audienceWe show that complete $n$-manifolds whose part of Ricci curvature less than a ...
AbstractWe consider the relations between the Busemann function and the distance function of an open...
We investigate the rigidity problem for the sharp spectral gap on Finsler manifolds of weighted Ricc...
AbstractWe will characterize the fundamental groups of compact manifolds of (almost) nonnegative Ric...
Let (M, g) be an n−dimensional complete open Riemannian manifold with nonnegative Ricci curvature v...