Harmonic morphisms from even-dimensional hyperbolic spaces

Authors

  • Martin Svensson

DOI:

https://doi.org/10.7146/math.scand.a-14403

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.

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Published

2003-06-01

Issue

Vol. 92 No. 2 (2003)

Section

Articles

How to Cite

[1]
M. Svensson, “Harmonic morphisms from even-dimensional hyperbolic spaces”, Math. Scand., vol. 92, no. 2, pp. 246–260, Jun. 2003, doi: 10.7146/math.scand.a-14403.