Harmonic morphisms with one-dimensional fibres on Einstein manifolds

Harmonic morphisms with one-dimensional fibres on Einstein manifolds

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.

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Veröffentlicht in:arXiv.org 2001-06
Hauptverfasser: Pantilie, Radu, Wood, John C
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422