The classical uniformization theorem for Riemann surfaces and its recent
extensions can be viewed as introducing special pseudogroup structures,
affine or projective structures, on Riemann surfaces. In fact, the
additional structures involved can be considered as local forms of the
uniformizations of Riemann surfaces. In this study, Robert Gunning
discusses the corresponding pseudogroup structures on higher-dimensional
complex manifolds, modeled on the theory as developed for Riemann
surfaces.
Originally published in 1978.
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