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Harmonic morphisms from quaternionic projective spaces

Name: Harmonic morphisms from quaternionic projective spaces
Creator: Sigmundur Gudmundsson
Keywords: Harmonic, subharmonic, superharmonic functions on other spaces, Riemann surface, 0103 physical sciences, quaternionic projective spaces, harmonic morphisms, Harmonic maps, etc., 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1995Publisher:Springer Science and Business Media LLCJournal:Geometriae Dedicata, volume 56, pages 327-332 (issn: 0046-5755, eissn: 1572-9168,

Authors: Sigmundur Gudmundsson;

doi: 10.1007/bf01263573

Harmonic morphisms from quaternionic projective spaces

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Abstract

Harmonic morphisms are maps between Riemannian manifolds, say, from \(M\) to \(N\), which pull back germs of real-valued harmonic functions on \(N\) to germs of harmonic functions on \(M\). In this paper, the author constructs harmonic morphisms from certain open subsets of quaternionic projective spaces to a Riemann surface.

Related Organizations

Lund University
Sweden

Keywords

Harmonic, subharmonic, superharmonic functions on other spaces, Riemann surface, quaternionic projective spaces, harmonic morphisms, Harmonic maps, etc.

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