23 citations · 100 across the 29 of their papers we have counts for
4 papers · 2 filters
A Remark on Almost Umbilical Hypersurfaces
Julien Roth
In this article, we prove new stability results for almost-Einstein hypersurfaces of the Euclidean space, based on previous eigenvalue pinching results. Then, we deduce some compar…
Eigenvalue pinching and application to the stability and the almost umbilicity of hypersurfaces
Jean-Francois Grosjean, Julien Roth
In this paper we give pinching theorems for the first nonzero eigenvalue of the Laplacian on the compact hypersurfaces of ambient spaces with bounded sectional curvature. As applic…
Spinorial Characterization of Surfaces into 3-dimensional homogeneous Manifolds
Julien Roth
We give a spinorial characterization of isometrically immersed surfaces into 3-dimensional homogeneous manifolds with 4-dimensional isometry group in terms of the existence of a pa…
Pinching of the First Eigenvalue of the Laplacian and almost-Einstein Hypersurfaces of the Euclidean Space
Julien Roth
In this paper, we prove new pinching theorems for the first eigenvalue of the Laplacian on compact hypersurfaces of the Euclidean space. These pinching results are associated with…