Harmonic morphisms with one-dimensional fibres on Einstein manifolds
Differential Geometry
2007-05-23 v1
Abstract
We prove that, from an Einstein manifold of dimension greater than or equal to five, there are just two types of harmonic morphism with one-dimensional fibres. This generalizes a result of R.L. Bryant who obtained the same conclusion under the assumption that the domain has constant curvature.
Keywords
Cite
@article{arxiv.math/0106101,
title = {Harmonic morphisms with one-dimensional fibres on Einstein manifolds},
author = {Radu Pantilie and John C. Wood},
journal= {arXiv preprint arXiv:math/0106101},
year = {2007}
}
Comments
Latex 2e, 21 pages