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Complex structures in the Nash-Moser category. (English) Zbl 0687.30034

See the preview in Zbl 0678.30028.

MSC:

30F30 Differentials on Riemann surfaces
32G15 Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
32G05 Deformations of complex structures

Citations:

Zbl 0678.30028
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References:

[1] C. J. Eearle and J. Eells, Fibre Bundle Description of Teichmüller Theory, J. Differential Geometry3 (1969), 19-43. · Zbl 0185.32901
[2] C. J. Earle and A. Schatz, Teichmüller Theory for Surfaces With Boundary, J. Differential Geometry4 (1970), 169-185. · Zbl 0194.52802
[3] D. G. Ebin, The Manifold of Riemannian Metrics, in: Global Analysis, Proceedings of Symposia in Pure Mathematics 15, Amer. Math. Soc., Providence 1970. · Zbl 0205.53702
[4] H. M. Farkas and I. Kra, Riemann Surfaces, Springer Verlag, New York 1980.
[5] J. Gravesen, Geometrical Methods in Quantum Field Theory, D. Phil. Thesis, Oxford, 1987; see also: On the topology of holomorphic maps, Acta Math.162 (1989), 247-286. · Zbl 0696.58014
[6] R. S. Hamilton, The Inverse Function Theorem of Nash and Moser, Bull. Amer. Math. Soc.7 (1982), 65-222. · Zbl 0499.58003 · doi:10.1090/S0273-0979-1982-15004-2
[7] T. N. Subramaniam, Slices for Actions of Infinite Dimensional Groups, in: Differential Analysis in Infinite Dimensional Spaces, Contemporary Mathematics 54, Amer. Math. Soc., Providence 1986, pp. 65-77. · Zbl 0605.57021
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