Closed, negatively curved Riemannian manifolds with a flat horosphere are hyperbolic
classification
🧮 math.DG
keywords
manifoldclosedcurvedflathorospherehyperbolicnegativelyriemannian
read the original abstract
We prove that the existence of one flat horosphere in the universal cover of a closed, strictly quarter pinched, negatively curved Riemannian manifold of dimension n with n greater than or equal to 3, implies that the manifold is homothetic to a real hyperbolic manifold.
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.