Laboratoire de Mathématiques et Physique Théorique

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20032005

most citedA constrained scheme for Einstein equations based on Dirac gauge and spherical coordinates

172 citations

researchers with a paper here

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11 papers

math.MG2005★ 6 cited

Greatest least eigenvalue of the Laplacian on the Klein bottle

Ahmad El Soufi, Hector Giacomini, Mustapha Jazar

We prove the following conjecture recently formulated by Jakobson, Nadirashvili and Polterovich \cite{JNP}: For any Riemannian metric $g$ on the Klein bottle $K$ one has $…

math-ph2005

Blow-up results for some second order hyperbolic inequalities with a nonlinear term with respect to the velocity

M. Jazar, R. Kiwan

We give sufficient conditions on the initial data so that a semilinear wave inequality blows-up in finite time. Our method is based on the study of an associated second order diffe…

math.DS2005

Sets of k-recurrence but not (k+1)-recurrence

N. Frantzikinakis, E. Lesigne, M. Wierdl

For every $k \in N$ , we produce a set of integers which is $k$ -recurrent but not $(k + 1)$ -recurrent. This extends a result of Furstenberg who produced a 1-recurrent set whic…

math.DG2005

An optimal systolic inequality for CAT(0) metrics in genus two

Mikhail G. Katz, Stephane Sabourau

We prove an optimal systolic inequality for CAT(0) metrics on a genus~2 surface. We use a Voronoi cell technique, introduced by C.~Bavard in the hyperbolic context. The equality is…

math.DG2004★ 14 cited

Extremal eigenvalues of the Laplacian in a conformal class of metrics : the "conformal spectrum"

Bruno Colbois, Ahmad El Soufi

Let $M$ be a compact connected manifold of dimension $n$ endowed with a conformal class $C$ of Riemannian metrics of volume one. For any integer $k \geq 0$ , we consider the conformal…

math.DG2004★ 1 cited

Eigenvalues of the Laplacian acting on $p$ -forms and metric conformal deformations