37 citations · 110 across the 13 of their papers we have counts for
12 papers · 1 filter
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…
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…
Darboux transforms and spectral curves of Hamiltonian stationary Lagrangian tori
K. Leschke, P. Romon
The multiplier spectral curve of a conformal torus in the 4-sphere is essentially, see arXiv:0712.2311, given by all Darboux transforms of the conformal torus. In the particular ca…