10 citations · 12 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
Huber Theorem revisited in dimensions 2 and 4
Paul Laurain, Dorian Martino
We study the second Huber theorem in dimensions 2 and 4. In dimension 2, we prove a new version assuming that the Gauss curvature lies in a negative Sobolev space using Coulomb fra…
Morse index stability for p-Yang-Mills connections
Mario Gauvrit, Paul Laurain, Tristan Rivière
We establish the lower semi continuity of the Morse index and the upper continuity of the Morse Index plus nullity of sequences of critical points of the Sacks-Uhlenbeck type relax…
Morse index stability for Yang-Mills connections
Mario Gauvrit, Paul Laurain
We prove stability results of the Morse index plus nullity of Yang-Mills connections in dimension 4 under weak convergence. Precisely we establish that the sum of the Morse indices…