The classification of totally umbilical surfaces in homogeneous 3-manifolds
classification
🧮 math.DG
keywords
classificationsurfacestotallyumbilicalhomogeneousmanifoldsriemannianarbitrary
read the original abstract
We obtain an exhaustive classification of totally umbilical surfaces in unimodular and non-unimodular simply-connected 3-dimensional Lie groups endowed with arbitrary left-invariant Riemannian metrics. This completes the classification of totally umbilical surfaces in homogeneous Riemannian 3-manifolds.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.