Cusp closing in rank one symmetric spaces
type: Item
instance of: scholarly article
title: Cusp closing in rank one symmetric spaces
zbMATH Open document ID: 0860.53025
author: Christoph Hummel
author: Viktor Schroeder
published in: Inventiones Mathematicae
publication date: 1997-04-21T00:00:00Z
full work available at URL: https://eudml.org/doc/144346
review text: The ends of complete non-compact Riemannian manifolds with pinched negative curvature and finite volume have a very specific structure. In this paper it is shown that they can be closed, keeping the curvature nonpositive, if the universal cover is complex hyperbolic space, and that this is impossible if the universal cover is quaternionic space or the Cayley hyperbolic plane.
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 856590
zbMATH Keywords: cusps
zbMATH Keywords: noncompact Riemannian manifolds
zbMATH Keywords: pinched negative curvature
zbMATH Keywords: finite volume
zbMATH Keywords: universal cover
reviewed by: Werner Ballmann
MaRDI profile type: Publication
OpenAlex ID: W2066314380
Wikidata QID: Q125799115
DOI: 10.1007/S002220050027
description: scientific article; zbMATH DE number 856590