Transactions of the American Mathematical Society

Author(s): Radu Pantilie; John C. Wood
Journal: Trans. Amer. Math. Soc. 354 (2002), 4229-4243.
MSC (2000): Primary 58E20; Secondary 53C43
Posted: May 22, 2002
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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.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 58E20, 53C43

Radu Pantilie
Affiliation: School of Mathematics, University of Leeds, Leeds LS2 9JT, England
Email: r.pantilie@leeds.ac.uk

John C. Wood
Affiliation: School of Mathematics, University of Leeds, Leeds LS2 9JT, England
Email: j.c.wood@leeds.ac.uk\,.

DOI: 10.1090/S0002-9947-02-03044-1
PII: S 0002-9947(02)03044-1
Keywords: Harmonic morphism, foliation, Einstein manifold
Received by editor(s): December 17, 2001
Posted: May 22, 2002
Additional Notes: The authors gratefully acknowledge that this work was done under E.P.S.R.C. grant number GR/N27897.
Copyright of article: Copyright 2002, American Mathematical Society

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