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DELAUNAY, C.: Sur la surface de révolution dont la courbure moyenne est constante. J.Math. pures et appl. Sér. 1(6) (1841), 309–320; with a note appended by M.STURM.
EELLS,J.: Harmonic maps of surfaces, Proc. Eighth Annual National Mathematics Conference, Tehran. Bull. Iranian Math. Soc. (1978).
—: On the surfaces of Delaunay and their Gauss maps, Fourth Coloq. Inter. Geo. Dif. (In honour of Professor E.Vidal), Santiago de Compostela.
— and L. LEMAIRE: A report on harmonic maps, Bull. London Math. Soc. 10 (1978), 1–68.
— and —: On the construction of harmonic and holomorphic maps between surfaces, to appear.
— and J.H. SAMPSON: Harmonic mapping of Riemannian manifolds, Ann. J. Math. 86 (1964), 109–160.
— and J.C. WOOD: Restrictions on harmonic maps of surfaces, Topology 15 (1976), 263–266.
KENMOTSU, K.: Weierstrass formula for surfaces of prescribed mean curvature, to appear.
MEEKS, W.H.: The conformal structure and geometry of triply periodic minimal surfaces in ℝ3, Bull. Am. Math. Soc. 83 (1977), 134–6.
NAGANO, T. and B. SMYTH: Sur les surfaces minimales hyperelliptique dans un tore, C.R. Paris A280 (1975), 1527–1529.
— and —: Periodic minimal sufaces, Comm. Math. Helv. (1978).
RUH, E.A. and J. VILMS:, The tension field of the Gauss map. Trans. Am. Math. Soc. 149 (1970), 509–513.
SMITH, R.T.: Harmonic mapping of spheres, Warwick Thesis (1972).
THOMPSON, D'A.W.: Growth and Form, Cambridge (1917).
VILMS, J.: Submanifolds of Euclidean space with parallel second fundamental form, Proc. Ann. Math. Soc. 32 (1972), 263–267.
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Eells, J. (1980). Examples of harmonic and holomorphic maps. In: Ławrynowicz, J. (eds) Analytic Functions Kozubnik 1979. Lecture Notes in Mathematics, vol 798. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097261
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DOI: https://doi.org/10.1007/BFb0097261
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