Tag: De Sitter space

Title: Energy quantization for Willmore surfaces with bounded index Authors: Dorian Martino Categories: math.DG math.AP Comments: 49 pages \\ We prove an energy quantization result for Willmore surfaces with bounded index, whether the underlying Riemann surfaces degenerates in the moduli space or not. To do so, we translate the question on the conformal Gauss map’s point of view. In particular, we prove that in a neck or a collar region, the conformal Gauss map converges to a light-like geodesic in … Continue reading “Energy quantization for Willmore surfaces with bounded index”