6 citations · 13 across the 3 of their papers we have counts for
3 papers
gr-qc2016★ 6 cited
Short-scale Emergence of Classical Geometry, in Euclidean Loop Quantum Gravity
Vincent Bayle, François Collet, Carlo Rovelli
We study the euclidean covariant loop-quantum-gravity vertex numerically, using a cylindrically symmetric boundary state and a convenient value of the Barbero-Immirzi parameter. We…
math.DG2006★ 1 cited
On the isoperimetric problem in Euclidean space with density
César Rosales, Antonio Cañete, Vincent Bayle +1
We study the isoperimetric problem for Euclidean space endowed with a continuous density. In dimension one, we characterize isoperimetric regions for a unimodal density. In higher…
math.DG2003★ 6 cited
Some isoperimetric comparison theorems for convex bodies in Riemannian manifolds
Vincent Bayle, César Rosales
We prove that the isoperimetric profile of a convex domain with compact closure in a Riemannian manifold satisfies a second order differential inequality which on…