Laboratoire de Mathématiques et Physique Théorique

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20032026

most citedEffective Holographic Theories for low-temperature condensed matter systems

509 citations

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22 papers · 1 filter

math.DG2024★ 46 cited

Diastolic and isoperimetric inequalities on surfaces

Florent Balacheff, Stéphane Sabourau

We prove a universal inequality between the diastole, defined using a minimax process on the one-cycle space, and the area of closed Riemannian surfaces. Roughly speaking, we show…

math.DG2017

Entropy Rigidity of negatively curved manifolds of finite volume

M. Peigne, A. Sambusetti

We prove the following entropy-rigidity result in finite volume: if $X$ is a negatively curved manifold with curvature $- b^{2} \leq K_{X} \leq - 1$ , then $E n t_{t o p} (X) = n - 1$ if and only…

math.DG2015

Optimal transportation between hypersurfaces bounding some strictly convex domains

Emmanuel Humbert, Luc Molinet

Let $M, N$ be two smooth compact hypersurfaces of $R^{n}$ which bound strictly convex domains equipped with two absolutely continuous measures $μ$ and $ν$ (with respect to th…

math.DG2013

Growth of balls in the universal cover of surfaces and graphs

Steve Karam

In this paper, we prove uniform lower bounds on the volume growth of balls in the universal covers of Riemannian surfaces and graphs. More precisely, there exists a constant $δ > 0$ …

math.DG2013★ 6 cited

New minimal surfaces in S^3 desingularizing the Clifford tori

Jaigyoung Choe, Marc Soret

For each integer m>1 and l>0 we construct a pair of compact embedded minimal surfaces of genus 1+4m(m-1)l. These surfaces desingularize the m Clifford tori meeting each other along…

math.DG2012★ 1 cited

Some properties of simple minimal knots

Marc Soret, Marina Ville

A minimal knot is the intersection of a topologically embedded branched minimal disk in $R^{4}$ $C^{2}$ with a small sphere centered at the branch point. When the lo…