Harmonic morphisms from even-dimensional hyperbolic spaces

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

In this paper we give a method for constructing complex valued harmonic morphisms in some pseudo-Riemannian manifolds using a parametrization of isotropic subbundles of the complexified tangent bundle. As a result we construct the first known examples of complex valued harmonic morphisms in real hyperbolic spaces of even dimension not equal to 4 which do not have totally geodesic fibres.
Original languageEnglish
JournalMathematica Scandinavica
Volume92
Pages (from-to)246-260
ISSN0025-5521
DOIs
Publication statusPublished - 2003
Externally publishedYes

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Harmonic Morphisms
Hyperbolic Space
Pseudo-Riemannian Manifold
Totally Geodesic
Tangent Bundle
Parametrization
Fiber

Cite this

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title = "Harmonic morphisms from even-dimensional hyperbolic spaces",
abstract = "In this paper we give a method for constructing complex valued harmonic morphisms in some pseudo-Riemannian manifolds using a parametrization of isotropic subbundles of the complexified tangent bundle. As a result we construct the first known examples of complex valued harmonic morphisms in real hyperbolic spaces of even dimension not equal to 4 which do not have totally geodesic fibres.",
author = "Martin Svensson",
year = "2003",
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language = "English",
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pages = "246--260",
journal = "Mathematica Scandinavica",
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Harmonic morphisms from even-dimensional hyperbolic spaces. / Svensson, Martin.

In: Mathematica Scandinavica, Vol. 92, 2003, p. 246-260.

Research output: Contribution to journalJournal articleResearchpeer-review

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AB - In this paper we give a method for constructing complex valued harmonic morphisms in some pseudo-Riemannian manifolds using a parametrization of isotropic subbundles of the complexified tangent bundle. As a result we construct the first known examples of complex valued harmonic morphisms in real hyperbolic spaces of even dimension not equal to 4 which do not have totally geodesic fibres.

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SP - 246

EP - 260

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