arXiv math/03063902003-06-27math.DG

Harmonic morphisms and shear-free ray congruences

P. Baird, J. C. Wood

备注：: 38 pages, needs lms.sty, 3 ps figures. This is a revised and expanded version of dg-ga/9603005, and forms a supplement to the authors' book `Harmonic morphisms between Riemannian manifolds', see http://www.amsta.leeds.ac.uk/Pure/staff/wood/BWBook/BWBook.html

英文摘要：

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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英文摘要：

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