Annals of Global Analysis and Geometry

, Volume 7, Issue 2, pp 155–161 | Cite as

Complex structures in the Nash-Moser category

  • Jens Gravesen


Working in the Nash-Moser category, it is shown that the harmonic and holomorphic differentials and the Weierstrass points on a closed Riemann surface depend smoothly on the complex structure. It is also shown that the space of complex structures on any compact surface forms a principal bundle over the Teichmüller space and hence that the uniformization maps of the closed disk and the sphere depend smoothly on the complex structure.


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Copyright information

© VEB Deutscher Verlag der Wissenschaften Berlin 1989

Authors and Affiliations

  • Jens Gravesen
    • 1
  1. 1.Mathematical InstituteThe Technical University of DenmarkLyngbyDenmark

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