4 papers
The Analysis of Willmore Surfaces and its Generalizations in Higher Dimensions
Tian Lan, Dorian Martino, Tristan Rivière
We review recent progress concerning the analysis of Lagrangians on immersions into depending on the first and second fundamental forms and their covariant derivativ…
The Regularity of Critical Points to Scale-Invariant Curvature Energies in Dimension 4
Yann Bernard, Tian Lan, Dorian Martino +1
We consider a class of scale-invariant curvature energies defined on immersed -dimensional manifolds and prove that weak immersions that are critical points of such energies are…
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…
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…