The Teichmüller theory of harmonic maps
Source: J. Differential Geom. Volume 29, Number 2 (1989), 449-479.
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Links and Identifiers
 L. Ahlfors, Some remarks on Teichmuller's space of Riemann surfaces, Ann. of Math. (2) 74 (1961) 171-191.
 L. Ahlfors and L. Bers, Riemann's mapping theorem for variable metrics, Ann. of Math. (2) 72 (1960) 385-404.
 C. J. Earle and J. Eells, A fibre bundle description of Teichmuller theory, J. Differential Geometry 3 (1969) 19-43.
 J. Eells and J. H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964) 109-160.
 A. Fathi, F. Ladenbach and V. Poenaru, Traveaux de Thurston sur les surfaces, Asterisque 66-66 (1979).
Zentralblatt MATH: 0446.57010
 A. E. Fischer and J. Tromba, On a purely Riemannian proof of the structure and dimension of the unramified moduli space of a compactRiemann surface, Math. Ann. 267 (1984) 311-345.
 A. E. Fischer and J. Tromba, On the Weil-Petersson metric on Teichmuller space, Trans. Amer. Math. Soc. 284 (1984) 319-335.
 M. Gerstenhaber and H. E. Rauch, On extremal quasi-conformal mappings. I, II, Proc. Nat. Acad. Sci. U.S.A. 40 (1954) 808-812, 991-994.
 P. Hartman, On homotopic harmonic maps, Canad. J. Math. 19 (1967) 673-687.
 J. Hubbard and H. Masur, Quadratic differentials and foliations, Acta. Math. 142 (1979) 221-274.
 J. Jost, Harmonic maps between surfaces, Lecture Notes in Math., Vol. 1062, Springer, Berlin, 1984.
 J. Jost, Harmonic maps between surfaces, manuscript.
 S. Kerckhoff, The asymptotic geometry of Teichmuller space, Topology 19 (1980) 23-41.
 E. Reich, On the variational principle of Gerstenhaber and Rauch, Ann. Acad. Sci. Fenn. Ser. A I Math. 10 (1985) 469-475.
 H. L. Royden, Oral communication.
 E. Reich, Real analysis, 2nd ed., MacMillan, New York, 1968.
 J. H. Sampson, Some properties and applications of harmonic mappings, Ann. Sci. Ecole Norm. Sup. 4 (1978) 211-228.
 R. Schoen and S. T. Yau, On univalent harmonic maps between surfaces, Invent. Math. 44 (1978) 265-278.
 R. Schoen and S. T. Yau, Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with nonnegative scalar curvature, Ann. of Math. (2) 110 (1979) 127-142.
 K. Strebel, Quadratic differentials, Springer, Berlin, 1984.
 B. Tabak, A geometric characterization of harmonic maps between surfaces, Math. Ann. 270 (1985) 147-157.
 W. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces. I, preprint.
 A. J. Tromba, A new proof that Teichmuller's space is a cell, preprint.
Zentralblatt MATH: 0627.32019
 A. J. Tromba, On a natural algebraic affine connection on the space of almost complex structures and the curvature of Teichmuller space with respect to its Weil-Petersson metric, preprint.
Zentralblatt MATH: 0606.32014
 M. Tsuji, Potential theory in modern function theory, Chelsea, New York, 1975.
 S. A. Wolpert, Non-completeness of the Weil-Petersson metric for Teichmuller space, Pacific J. Math, l (1975) 573-57.
 S. A. Wolpert, Chern forms and the Riemann tensor for the moduli space of curves, Invent. Math. 85 (1986) 119-145.