1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.AP2021
Quantization of the Willmore Energy in Riemannian Manifolds
Alexis Michelat, Andrea Mondino
We show that the quantization of energy for Willmore spheres into closed Riemannian manifolds holds provided that the Willmore energy and the area are uniformly bounded. The analog…
math.DG2019
On the Morse Index of Branched Willmore Spheres in -Space
Alexis Michelat
We develop a general method to compute the Morse index of branched Willmore spheres and show that the Morse index is equal to the index of certain matrix whose dimension is equal t…
math.AP2018★ 1 cited
On the Morse Index of Critical Points in the Viscosity Method
Alexis Michelat
We show that in viscous approximations of functionals defined on Finsler manifolds, it is possible to construct suitable sequences of critical points of these approximations satisf…