Pseudo Harmonic Morphisms on Riemannian Polyhedra

dc.creatorAprodu, M. A.
dc.creatorBouziane, T.
dc.date2004-09-28
dc.date2004-09-29
dc.date.accessioned2026-07-07T05:12:40Z
dc.date.available2026-07-07T05:12:40Z
dc.descriptionThe 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.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0409553
dc.identifierhttp://arxiv.org/abs/math/0409553
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72660
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.titlePseudo Harmonic Morphisms on Riemannian Polyhedra
dc.typetext

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