Horosphere slab separation theorems in manifolds without conjugate points

Abstract Let Wn $\mathcal {W}^{n}$ be the set of smooth complete simply connected n-dimensional manifolds without conjugate points. The Euclidean space and the hyperbolic space are examples of these manifolds. Let W∈Wn $W\in \mathcal {W}^{n}$ and let A and B be two convex subsets of W. This note aim...

Full description

Bibliographic Details
Main Author: Sameh Shenawy
Format: Article
Language:English
Published: SpringerOpen 2019-09-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://link.springer.com/article/10.1186/s42787-019-0038-5