7 citations · 18 across the 7 of their papers we have counts for
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math.AP2019★ 7 cited
Minimal Bubbling for Willmore Surfaces
Nicolas Marque
In this paper we build an explicit example of a minimal bubble on a Willmore surface, showing there cannot be compactness for Willmore immersions of Willmore energy above . A…
math.DG2019★ 5 cited
Conformal Gauss Map Geometry and Application to Willmore Surfaces in Model Spaces
Nicolas Marque
In this paper we make a detailed and self-contained study of the conformalGauss map. Then, starting from the seminal work of R. Bryant and the notion of conformal Gauss map, we rec…
math.AP2019★ 1 cited
An -regularity result with mean curvature control for Willmore immersions and application to minimal bubbling
Nicolas Marque
In this paper we prove a convergence result for sequences of Willmore immersions with simple minimal bubbles. To this end we replace the total curvature control in T. Rivière's pro…