Branched covers of hyperbolic manifolds and harmonic maps

2004/03/08 by F. T. Farrell, Farrell, F. T., Pedro Ontaneda +2
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #math.GT

paper · pdf · doi:10.48550/arxiv.math/0403140

openalex publication_date 2004/03/08 · arxiv created 2004/03/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give examples of harmonic maps between negatively curved manifolds with special properties. These negatively curved manifolds do not have the homotopy type of a locally symmetric space.

Citations

• Harmonic Mappings of Riemannian Manifolds

Related

• Cellular harmonic maps which are not diffeomorphisms
• Harmonic maps between surfaces homotopic to a (branched) covering map
• Harmonic quasi-isometric maps II : negatively curved manifolds
• Harmonic projections in negative curvature
• Hyperbolization and regular neighborhoods