Harmonic morphisms on heaven spaces

Details Harmonic morphisms on heaven spaces Harmonic morphisms on heaven spaces

2007-09-05

arxiv.org/abs/0709.0672v1

Mathematics

Differential Geometry

9 pages

Scientific paper

We prove that any (real or complex) analytic horizontally conformal
submersion from a three-dimensional conformal manifold M to a two-dimensional
conformal manifold N can be, locally, `extended' to a unique harmonic morphism
from the heaven space of M to N.

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