Energy quantization for Willmore surfaces with bounded index
Year: 2025
Type: article
Abstract: We prove an energy quantization result for Willmore surfaces with bounded index, whether the underlying Riemann surfaces degenerate in the moduli space or not. To do so, we translate the question on the conformal Gauss map’s viewpoint. In particular, we prove that in a neck or a collar region, the conformal Gauss map converges to a light-like geodesic in the de Sitter space.
DOI: 10.4171/jems/1629
Author: Dorian Martino
Institution: Université Paris Cité
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409484089