2 papers
math.DG2026
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…
math.AP2026
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…