Ramified coverings with nonpositive curvature
type: Item
instance of: scholarly article
title: Ramified coverings with nonpositive curvature
zbMATH Open document ID: 0694.53040
DOI: 10.1007/BF02570726
author: Susana Fornari
author: Viktor Schroeder
published in: Mathematische Zeitschrift
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/174117
review text: Using ideas of Gromov, the authors construct metrics of non-positive curvature on certain ramified coverings. They also show that many of their examples do not admit analytic metrics of non-positive curvature.
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 4136921
zbMATH Keywords: non-positive curvature
zbMATH Keywords: ramified coverings
reviewed by: Werner Ballmann
MaRDI profile type: Publication
cites work: Q3708977
cites work: Structure of manifolds of nonpositive curvature. I
cites work: Manifolds of nonpositive curvature
cites work: The fundamental group of compact manifolds without conjugate points
cites work: Manifolds of negative curvature
cites work: Pinching constants for hyperbolic manifolds
cites work: Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature
cites work: Compact manifolds of nonpositive curvature
cites work: Q4107635
Recommended article: Q4681704
Recommended article: Bounding ramification by covers and curves
Recommended article: Nonequivalent coverings of Riemann surfaces with a prescribed ramification type
Recommended article: Ramified coverings of nonorientable surfaces by orientable surfaces with prescribed boundary projection
Recommended article: Ramified coverings and Gaussian maps of smooth algebraic curves
Recommended article: Ramification of Klein coverings
Recommended article: Ramified coverings over a complete Kähler space
Recommended article: On ramified double covering maps of Riemann surfaces
Recommended article: Q3000299
Recommended article: Double coverings of non-orientable Riemann surfaces ramified over discrete sets
description: scientific article; zbMATH DE number 4136921