Harmonic morphisms with one-dimensional fibres on Einstein manifolds-Reference-Cited by-同舟云学术

Harmonic morphisms with one-dimensional fibres on Einstein manifolds

Published:2002-05-22 Issue:10 Volume:354 Page:4229-4243
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Pantilie Radu,Wood John

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2002-354-10/S0002-9947-02-03044-1/S0002-9947-02-03044-1.pdf

Reference27 articles.

1. Research Notes in Mathematics;Baird, Paul,1983

2. Harmonic morphisms and circle actions on 3- and 4-manifolds;Baird, Paul;Ann. Inst. Fourier (Grenoble),1990

3. A conservation law for harmonic maps;Baird, P.,1981

4. Harmonic morphisms, Seifert fibre spaces and conformal foliations;Baird, P.;Proc. London Math. Soc. (3),1992

5. P. Baird, J.C. Wood, Harmonic morphisms between Riemannian manifolds, London Math. Soc. Monogr. (N.S.), Oxford Univ. Press (to appear).

Cited by 20 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On tame ρ-quaternionic manifolds;Journal of Geometry and Physics;2022-02

2. HARMONIC MAPS AND TWISTORIAL STRUCTURES;Mathematika;2019-11-26

3. Harmonic morphisms and moment maps on hyper-Kähler manifolds;manuscripta mathematica;2016-10-27

4. Steady Euler flows and the Faddeev-Skyrme model with mass term;Journal of Mathematical Physics;2015-02

5. Shear-free perfect fluids with linear equation of state;Classical and Quantum Gravity;2014-06-02