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Cellular harmonic maps which are not diffeomorphisms

2003/11/11 by F. T. Farrell, Farrell, F. T., Pedro Ontaneda +2
Biochemistry, Genetics and Molecular Biology · Mathematics · #Cellular Mechanics and Interactions #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Mathematical Dynamics and Fractals #math.DG #math.GT

paper · pdf · doi:10.48550/arxiv.math/0311175

arxiv created 2003/11/11 · openalex publication_date 2003/11/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give examples of harmonic cellular maps between negatively curved manifolds which are not diffeomorphisms but are homotopic to diffeomorphisms.

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