Harmonic morphisms on heaven spaces
Differential Geometry
2014-02-26 v1
Abstract
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.
Cite
@article{arxiv.0709.0672,
title = {Harmonic morphisms on heaven spaces},
author = {Paul Baird and Radu Pantilie},
journal= {arXiv preprint arXiv:0709.0672},
year = {2014}
}
Comments
9 pages