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Article overview
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Harmonic morphisms and shear-free ray congruences | P. Baird
; J.C. Wood
; | Date: |
27 Jun 2003 | Subject: | Differential Geometry MSC-class: 53C43 (Primary); 58E20 (Secondary) | math.DG | Affiliation: | Brest) and J.C. Wood (Leeds | 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. | Source: | arXiv, math.DG/0306390 | Services: | Forum | Review | PDF | Favorites |
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