2004/09/28 by M. A. Aprodu, Monica Alice Aprodu, Aprodu, M. A. +3
Computer Science · Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Topological and Geometric Data Analysis #math.DG #math.GT
paper · pdf · doi:10.48550/arxiv.math/0409553
23 pages
openalex publication_date 2004/09/28 · arxiv created 2004/09/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this paper is to extend the notion of pseudo harmonic morphism (introduced by Loubeau \cite Lo) to the case when the source manifold is an admissible Riemannian polyhedron. We define these maps to be harmonic in the sense of Eells-Fuglede \cite EF and pseudo-horizontally weakly conformal in our sense (see Section 3). We characterize them by means of germs of harmonic functions on the source polyhedron, in sense of Korevaar-Schoen \cite KS, and germs of holomorphic functions on the Kähler target manifold.