3 papers
math.AP2026
Einstein Type Systems on Complete Manifolds
Rodrigo Avalos, Jorge Lira, Nicolas Marque
In this paper, we study the coupled Einstein constraint equations on complete manifolds through the conformal method, focusing on non-compact manifolds with flexible asymptotics. T…
math.DG2026
Rigidity Theorems for Asymptotically Euclidean -singular Spaces
Rodrigo Avalos, Paul Laurain, Nicolas Marque
In this paper we prove some rigidity theorems associated to -curvature analysis on asymptotically Euclidean (AE) manifolds, which are inspired by the analysis of conservation pr…
math.DG2025
Some global properties of umbilic points of Willmore immersions in the -sphere
Nicolas Marque, Dorian Martino
We study the umbilic points of Willmore surfaces in codimension 1 from the viewpoint of the conformal Gauss map. We first study the local behaviour of the conformal Gauss map near…