Harmonic morphisms and shear-free ray congruences

P. Baird; J. C. Wood

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Harmonic morphisms and shear-free ray congruences

P. Baird·J. C. Wood

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Abstract

We describe the relationship between complex-valued harmonic morphisms from Minkowski 4-space} and the shear-free ray congruences of mathematical physics. Then we show how a horizontally conformal submersion on a domain of Euclidean 3-space gives the boundary values at infinity of a complex-valued harmonic morphism on hyperbolic 4-space.

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BibTeX RIS

P. Baird, J. C. Wood. 2003-06-27. Harmonic morphisms and shear-free ray congruences. https://arxiv.org/abs/math/0306390

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