Special Session 65: Geometry of PDEs on Manifolds and Nilpotent Lie Groups

Huber`s Theorems in Dimensions 2 and 4
Paul Laurain
University Gustave Eiffel
France
Co-Author(s):    Dorian Martino
Abstract:
After recalling the classical statement of Huber`s second theorem, I will propose an approach via the moving frame method. I will then present the state of the art on generalizations of this theorem to dimension 4, emphasizing that these do not yet yield a complete generalization. Next, drawing inspiration from the moving frame approach, we will present a new advance toward a full characterization. Finally, I will give some applications to the extrinsic case. Joint work with Dorian Martino.