On the existence of harmonic diffeomorphisms between surfaces
Tóm tắt
Từ khóa
Tài liệu tham khảo
Courant, R.: Dirichlet's principle. New York: Interscience Publishers, Inc., 1950
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.: 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)