Harmonic Morphisms between Riemannian Manifolds

Harmonic Morphisms between Riemannian Manifolds
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DOI：
10.1093/acprof:oso/9780198503620.001.0001
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发表时间：
2003-05
期刊：
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影响因子：
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通讯作者：
P. Baird;J. Wood
P. Baird;J. Wood
中科院分区：
其他
文献类型：
--
作者：
P. Baird;J. Wood

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Introduction BASIC FACTS ON HARMONIC MORPHISMS 1. Complex-valued harmonic morphisms on three-dimensional Euclidean space 2. Riemannian manifolds and conformality 3. Harmonic mappings between Riemannian manifolds 4. Fundamental properties of harmonic morphisms 5. Harmonic morphisms defined by polynomials TWISTOR METHODS 6. Mini-twistor theory on three-dimensional space-forms 7. Twistor methods 8. Holomorphic harmonic morphisms 9. Multivalued harmonic morphisms TOPOLOGICAL AND CURVATURE CONSIDERATIONS 10. Harmonic morphisms from compact 3-manifolds 11. Curvature considerations 12. Harmonic morphisms with one-dimensional fibres 13. Reduction techniques FURTHER DEVELOPMENTS 14. Harmonic morphisms between semi-Riemannian manifolds Appendix Glossary of Notation Bibliography Index