J. Roth

activity

20062022

most citedSpinorial Characterization of Surfaces into 3-dimensional homogeneous Manifolds

23 citations · 100 across the 29 of their papers we have counts for

collaborators

Showing 2010Show all

3 papers · 1 filter

math.PR2010★ 2 cited

The Logarithmic Sobolev Constant of The Lamplighter

Evgeny Abakumov, Anne Beaulieu, François Blanchard +17

We give estimates on the logarithmic Sobolev constant of some finite lamplighter graphs in terms of the spectral gap of the underlying base. Also, we give examples of application.

math.DG2010

Hypersurfaces with small extrinsic radius or large $λ_{1}$ in Euclidean spaces

Erwann Aubry, Jean-Francois Grosjean, Julien Roth

We prove that hypersurfaces of $R^{n + 1}$ which are almost extremal for the Reilly inequality on $λ_{1}$ and have $L^{p}$ -bounded mean curvature ( $p > n$ ) are Hausdorff close to a sphere…

math.DG2010★ 21 cited

Spinorial Characterizations of Surfaces into 3-dimensional pseudo-Riemannian Space Forms

M. -A. Lawn, J. Roth

We give a spinorial characterization of isometrically immersed surfaces of arbitrary signature into 3-dimensional pseudo-Riemannian space forms. For Lorentzian surfaces, this gener…

The Logarithmic Sobolev Constant of The Lamplighter

Hypersurfaces with small extrinsic radius or large λ1​ in Euclidean spaces

Spinorial Characterizations of Surfaces into 3-dimensional pseudo-Riemannian Space Forms

Hypersurfaces with small extrinsic radius or large $λ_{1}$ in Euclidean spaces