37 citations · 110 across the 13 of their papers we have counts for
13 papers
Discrete CMC surfaces in R^3 and discrete minimal surfaces in S^3. A discrete Lawson correspondence
Alexander I. Bobenko, Pascal Romon
The main result of this paper is a discrete Lawson correspondence between discrete CMC surfaces in R^3 and discrete minimal surfaces in S^3. This is a correspondence between two di…
Ricci curvature on polyhedral surfaces via optimal transportation
Benoît Loisel, Pascal Romon
The problem of defining correctly geometric objects such as the curvature is a hard one in discrete geometry. In 2009, Ollivier defined a notion of curvature applicable to a wide c…
The spinor representation formula in 3 and 4 dimensions
Pascal Romon, Julien Roth
In the literature, two approaches to the Weierstrass representation formula using spinors are known, one explicit, going back to Kusner & Schmitt, and generalized by Konopelchenko…
A canonical structure on the tangent bundle of a pseudo- or para-Kähler manifold
Henri Anciaux, Pascal Romon
It is a classical fact that the cotangent bundle $T^* \M$ of a differentiable manifold $\M$ enjoys a canonical symplectic form . If $(\M,\j,g,ω)$ is a pseudo-Kähler or para-Kä…
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.
Minimal Lagrangian surfaces in the tangent bundle of a Riemannian surface
Henri Anciaux, Brendan Guilfoyle, Pascal Romon
Given an oriented Riemannian surface , its tangent bundle enjoys a natural pseudo-Kähler structure, that is the combination of a complex structure $\J$, a pseudo-metri…