2001/06/13 by Radu Pantilie, Jonathan Wood, Pantilie, Radu +2
Mathematics · #58E20 (Primary) 53C43 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #msc:53C43 #msc:58E20
paper · pdf · doi:10.48550/arxiv.math/0106101
Latex 2e, 21 pages
arxiv created 2001/06/13 · openalex publication_date 2001/06/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that, from an Einstein manifold of dimension greater than or equal to five, there are just two types of harmonic morphism with one-dimensional fibres. This generalizes a result of R.L. Bryant who obtained the same conclusion under the assumption that the domain has constant curvature.