Conformal Gauss Map Geometry and Application to Willmore Surfaces in
Model Spaces
Conformal Gauss Map Geometry and Application to Willmore Surfaces in
Model Spaces
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 recover many fundamental properties of Willmore surfaces. We also get new results like some characterizations of minimal and constant …