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Examples of harmonic and holomorphic maps

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Analytic Functions Kozubnik 1979

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 798))

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References

  1. 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.

    Google Scholar 

  2. EELLS,J.: Harmonic maps of surfaces, Proc. Eighth Annual National Mathematics Conference, Tehran. Bull. Iranian Math. Soc. (1978).

    Google Scholar 

  3. —: On the surfaces of Delaunay and their Gauss maps, Fourth Coloq. Inter. Geo. Dif. (In honour of Professor E.Vidal), Santiago de Compostela.

    Google Scholar 

  4. — and L. LEMAIRE: A report on harmonic maps, Bull. London Math. Soc. 10 (1978), 1–68.

    Article  MathSciNet  MATH  Google Scholar 

  5. — and —: On the construction of harmonic and holomorphic maps between surfaces, to appear.

    Google Scholar 

  6. — and J.H. SAMPSON: Harmonic mapping of Riemannian manifolds, Ann. J. Math. 86 (1964), 109–160.

    MathSciNet  MATH  Google Scholar 

  7. — and J.C. WOOD: Restrictions on harmonic maps of surfaces, Topology 15 (1976), 263–266.

    Article  MathSciNet  MATH  Google Scholar 

  8. KENMOTSU, K.: Weierstrass formula for surfaces of prescribed mean curvature, to appear.

    Google Scholar 

  9. MEEKS, W.H.: The conformal structure and geometry of triply periodic minimal surfaces in ℝ3, Bull. Am. Math. Soc. 83 (1977), 134–6.

    Article  MathSciNet  MATH  Google Scholar 

  10. NAGANO, T. and B. SMYTH: Sur les surfaces minimales hyperelliptique dans un tore, C.R. Paris A280 (1975), 1527–1529.

    MathSciNet  MATH  Google Scholar 

  11. — and —: Periodic minimal sufaces, Comm. Math. Helv. (1978).

    Google Scholar 

  12. RUH, E.A. and J. VILMS:, The tension field of the Gauss map. Trans. Am. Math. Soc. 149 (1970), 509–513.

    Article  MathSciNet  MATH  Google Scholar 

  13. SMITH, R.T.: Harmonic mapping of spheres, Warwick Thesis (1972).

    Google Scholar 

  14. THOMPSON, D'A.W.: Growth and Form, Cambridge (1917).

    Google Scholar 

  15. VILMS, J.: Submanifolds of Euclidean space with parallel second fundamental form, Proc. Ann. Math. Soc. 32 (1972), 263–267.

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Mathematics Institute, University of Warwick, CV4 7AL, Coventry, UK

    James Eells

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  1. James Eells
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Julian Ławrynowicz

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© 1980 Springer-Verlag

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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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09985-7

  • Online ISBN: 978-3-540-39247-7

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