Characterizations of umbilic points of isometric immersions in Riemannian and Lorentzian manifolds
classification
🧮 math.DG
keywords
characterizationslorentzianmanifoldspointsriemannianspaceumbilicarbitrary
read the original abstract
Several characterizations of umbilic points of submanifolds in arbitrary Riemannian and Lorentzian manifolds are given. As a consequence, we obtain new characterizations of spheres in the Euclidean space and of hyperbolic spaces in the Lorentz-Minkowski space. We also prove the Lorentzian version of a classical result by Cartan.
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.