Add to ORKGWe generalize the Alexandrov-Toponogov comparison theorem to the case of complete Riemannian manifolds referred to warped product models. We prove the maximal diameter theorem and the rigidity theorem. In particular, we discuss collapsing phenomena where the curvature explosion may occur
We prove comparison theorems for the sub-Riemannian distortion coefficients appearing in interpolati...
COLARES, Antônio Gervásio ; LIMA, Henrique Fernandes de. Some rigidity theorems in semi-Riemannian w...
AbstractThe aim of this paper is to study the uniqueness of complete hypersurfaces immersed in a sem...
AbstractSo far there exist two versions of Toponogov's triangle comparison theorem with surfaces of ...
. The comparison theory for the Riccati equation satisfied by the shape operator of parallel hypersu...
We investigate the topology of complete Riemannian manifolds with the radial curvature at the base m...
The central theme of this book is the interaction between the curvature of a complete Riemannian man...
In this paper we prove two inequalities relating the warping function to various curvature terms, fo...
AbstractSo far there exist two versions of Toponogov's triangle comparison theorem with surfaces of ...
The aim of our article is to generalize the Toponogov comparison theorem to a complete Riemannian ma...
Following ideas of Gromov we prove scalar and mean curvature comparison results for Riemannian bands...
In this expository note, we present a transparent proof of Toponogov's theorem for Alexandrov spaces...
AbstractWe give a Riccati type formula adapted for two metrics having the same geodesics rays starti...
We prove comparison theorems for the sub-Riemannian distortion coefficients appearing in interpolati...
We investigate manifolds with small excess, curvature bounded from below, and diameter bounded from ...
We prove comparison theorems for the sub-Riemannian distortion coefficients appearing in interpolati...
COLARES, Antônio Gervásio ; LIMA, Henrique Fernandes de. Some rigidity theorems in semi-Riemannian w...
AbstractThe aim of this paper is to study the uniqueness of complete hypersurfaces immersed in a sem...
AbstractSo far there exist two versions of Toponogov's triangle comparison theorem with surfaces of ...
. The comparison theory for the Riccati equation satisfied by the shape operator of parallel hypersu...
We investigate the topology of complete Riemannian manifolds with the radial curvature at the base m...
The central theme of this book is the interaction between the curvature of a complete Riemannian man...
In this paper we prove two inequalities relating the warping function to various curvature terms, fo...
AbstractSo far there exist two versions of Toponogov's triangle comparison theorem with surfaces of ...
The aim of our article is to generalize the Toponogov comparison theorem to a complete Riemannian ma...
Following ideas of Gromov we prove scalar and mean curvature comparison results for Riemannian bands...
In this expository note, we present a transparent proof of Toponogov's theorem for Alexandrov spaces...
AbstractWe give a Riccati type formula adapted for two metrics having the same geodesics rays starti...
We prove comparison theorems for the sub-Riemannian distortion coefficients appearing in interpolati...
We investigate manifolds with small excess, curvature bounded from below, and diameter bounded from ...
We prove comparison theorems for the sub-Riemannian distortion coefficients appearing in interpolati...
COLARES, Antônio Gervásio ; LIMA, Henrique Fernandes de. Some rigidity theorems in semi-Riemannian w...
AbstractThe aim of this paper is to study the uniqueness of complete hypersurfaces immersed in a sem...