2003/03/21 by Alberto Pambira, Pambira, Alberto
Computer Science · Mathematics · Physics and Astronomy · #53B30 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Topological and Geometric Data Analysis #math.DG #msc:53B30
paper · pdf · doi:10.48550/arxiv.math/0303275
21 pages, LaTeX
arxiv created 2003/03/21 · openalex publication_date 2003/03/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we generalize harmonic maps and morphisms to the degenerate semi-Riemannian category, in the case when the manifolds M and N are stationary and the map ϕ:M→ N is radical-preserving. We characterize geometrically the notion of (generalized) horizontal (weak) conformality and we obtain a characterization for (generalized) harmonic morphisms in terms of (generalized) harmonic maps.