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Fuglede, Bent

Harmonic morphisms between Riemannian manifolds. (English) Zbl 0339.53026

Ann. Inst. Fourier 28, No. 2, 107-144 (1978).
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Cited in 13 Reviews
Cited in 128 Documents

MSC:

53C20 Global Riemannian geometry, including pinching
53A30 Conformal differential geometry (MSC2010)
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\textit{B. Fuglede}, Ann. Inst. Fourier 28, No. 2, 107--144 (1978; Zbl 0339.53026)
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References:

[1] N. ARONSZAJN, A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order, J. Math. Pures Appl., 36 (1957), 235-249. · Zbl 0084.30402
[2] J.-M. BONY, Détermination des axiomatiques de théorie du potentiel dont LES fonctions harmoniques sont différentiables, Ann. Inst. Fourier, 17, 1 (1967), 353-382. · Zbl 0164.14003
[3] N. CIORANESCO, Sur LES fonctions harmoniques conjuguées, Bull. Sc. Math., 56 (1932), 55-64. · JFM 58.0502.04
[4] C. CONSTANTINESCU and A. CORNEA, Compactifications of harmonic spaces. Nagoya Math. J., 25 (1965), 1-57. · Zbl 0138.36701
[5] C. CONSTANTINESCU and A. CORNEA, Potential theory on harmonic spaces, Berlin-Heidelberg-New York : Springer 1972. · Zbl 0248.31011
[6] H. O. CORDES, Uber die bestimmtheit der Lösungen elliptischer differentialgleichungen durch anfangsvorgaben, Nachr. Akad. Wiss. Göttingen, Math. Phys. Kl. IIa, Nr. 11 (1956), 239-258. · Zbl 0074.08002
[7] J. EELLS, jr. and J. H. SAMPSON, Harmonic mappings of Riemannian manifolds, Amer. J. Math., 86 (1964), 109-160. · Zbl 0122.40102
[8] R. E. GREENE and H. WU, Embedding of open Riemannian manifolds by harmonic functions, Ann. Inst. Fourier, Grenoble, 25, 1 (1975), 215-235. · Zbl 0307.31003
[9] R.-M. HERVÉ, Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel, Ann. Inst. Fourier, Grenoble, 12 (1962), 415-571. · Zbl 0101.08103
[10] O. D. KELLOGG, Foundations of potential theory, Berlin, Springer, 1929 (re-issued 1967). · Zbl 0152.31301
[11] J. LIOUVILLE, Note VI, p. 609-616 in G. Monge : Applications de l’Analyse à la Géométrie, 5e éd., Paris, 1850.
[12] Yu G. REŠETNJAK, O konformnyk otobrazenijah prostanstva. (Russian.) (On conformal mappings in space), Dokl. Akad. Nauk SSSR, 130 (1960), 1196-1198. (Sovjet Math., 1 (1960), 153-155.) · Zbl 0099.37901
[13] A. SARD, Images of critical sets, Ann. Math., 68 (1958), 247-259. · Zbl 0084.05204
[14] D. SIBONY, Allure à la frontière minimale d’une classe de transformations. théorème de Doob généralisé, Ann. Inst. Fourier, Grenoble, 18, 2 (1968), 91-120. · Zbl 0182.15002
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