Keywords
- Riemannian Manifold
- Harmonic Function
- Riemann Surface
- Open Neighbourhood
- Quasiregular Mapping
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Brelot, M.: Lectures on potential theory. Tata Institute of Fundamental Research, Bombay (1960).
Constanvinescu, C., Cornea, A.: Compactifications of harmonic spaces. Nagoya math. J. 25 (1965), 1–57.
Eells, J., Sampson, J. H.: Harmonic mappings of Riemannian manifolds. Amer. J. Math. 86 (1964), 109–160.
Forst, G.: Symmetric harmonic groups and translation invariant Dirichlet spaces. Inventiones math. 18 (1972), 143–182.
Fuglede, B.: Finely harmonic mappings and finely holomorphic functions. Ann. Acad. Sci. Fenn. Ser. A I 2 (1976), 113–127.
Fuglede, B.: Harmonic morphisms between Riemannian manifolds. Ann. Inst. Fourier 28,2 (1978), 107–144.
Greene, R. E., Wu, H.: Embedding of open Riemannian manifolds by harmonic functions. Ann. Inst. Fourier 25,1 (1975), 215–235.
Hervé, R.-M.: Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel. Ann. Inst. Fourier 12 (1962), 415–571.
Janssen, K.: A co-fine domination principle for harmonic spaces. Math. Z. 141 (1975), 185–191.
Sibony, D.: Allure à la frontière minimale d'une classe de transformations. Théorème de Doob généralisé. Ann. Inst. Fourier 18,2 (1968), 91–120.
Gehring, F.W., Haahti, H.: The transformations which preserve the harmonic functions. Ann. Acad. Sci. Fenn. Ser. A I 293 (1960).
Ishihara, T.: A mapping of Riemannian manifolds which preserves harmonic functions. Manuscript.
Watson, B.: Manifold maps commuting with the Laplacian. J. diff. Geometry 8 (1973), 85–94.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1979 Springer-Verlag
About this paper
Cite this paper
Fuglede, B. (1979). Harmonic morphisms. In: Laine, I., Lehto, O., Sorvali, T. (eds) Complex Analysis Joensuu 1978. Lecture Notes in Mathematics, vol 747. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063964
Download citation
DOI: https://doi.org/10.1007/BFb0063964
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09553-8
Online ISBN: 978-3-540-34859-7
eBook Packages: Springer Book Archive
