References
Courant, R.: Dirichlet's principle. New York: Interscience Publishers, Inc., 1950
Eells, J., Lemaire, L.: A report on harmonic maps. Bull. London Math. Soc.10, 1–68 (1978)
Heinz, E.: Über das Nichtverschwinden der Funktionaldeterminante bei einer Klasse eindeutiger Abbildungen. Math. Z.105, 87–89 (1968)
Hildebrandt, S., Jost, J., Widman, K.O.: Harmonic mappings and minimal submanifolds. Invent. Math.62, 269–298 (1980)
Hildebrandt, S., Kaul, H., Widman, K.O.: An existence theorem for harmonic mappings of Riemannian manifolds. Acta Math.138, 1–16 (1977)
Jäger, K., Kaul, H.: Uniqueness and stability of harmonic maps and their Jacobi fields. Manuscripta Math.28 (4). 269–291 (1979)
Jost, J.: Univalency of harmonic maps between surfaces. J. Reine Angew. Math.324, 141–153 (1981)
Jost, J., Karcher, H.: Einigea-Priori Abschätzungen für harmonische Abbildungen. (in press 1982)
Lemaire, L.: Applications harmonique de surfaces riemanniennes. J. Differential Geometry13 (1), 51–78 (1978)
Sacks, J., Uhlenbeck, K.: Minimal surfaces in Riemannian manifolds. Ann. Math. Studies (in press 1982)
Sampson, J.: Some properties and applications of harmonic maps. Ann. Sci. École Norm. Sup. (sér 4)11, 211–228 (1978)
Schoen, R., Yau, S.T.: On univalent harmonic maps between surfaces. Invent. Math.44, 265–278 (1978)
Schoen, R., Yau, S.T.: Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature. Ann. Math.110, 127–142 (1979)
Shibata, K.: On the existence of a harmonic mapping. Osaka J. Math.15, 173–211 (1963)
Author information
Authors and Affiliations
Additional information
Research supported by Sloan Foundation
Rights and permissions
About this article
Cite this article
Jost, J., Schoen, R. On the existence of harmonic diffeomorphisms between surfaces. Invent Math 66, 353–359 (1982). https://doi.org/10.1007/BF01389400
Issue Date:
DOI: https://doi.org/10.1007/BF01389400