23 citations · 100 across the 29 of their papers we have counts for
4 papers · 1 filter
On the stability of the Wulff shape
Julien Roth
Given a positive function F on S n satisfying an appropriate con-vexity assumption, we consider hypersurfaces for which a linear combination of some higher order anisotropic curvat…
Pinching of the first eigenvalue for second order operators on hypersurfaces of the Euclidean space
Julien Roth, Julian Scheuer
We prove stability results associated with upper bounds for the first eigenvalue of certain second order differential operators of divergence-type on hypersurfaces of the Euclidean…
Explicit rigidity of almost-umbilical hypersurfaces
Julien Roth, Julian Scheuer
We give an explicit estimate of the distance of a closed, connected, oriented and immersed hypersurface of a space form to a geodesic sphere and show that the spherical closeness c…
A Fundamental Theorem for submanifolds of multiproducts of real space forms
Marie-Amélie Lawn, Julien Roth
We prove a Bonnet theorem for isometric immersions of submanifolds into the products of an arbitrary number of simply connected real space forms. Then, we prove the existence of as…