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On Uniformization of Complex Manifolds:
The Role of Connections (MN-22)
Robert C. Gunning

Paperback | 2015 | $29.95 | £24.95 | ISBN: 9780691607924
Hardcover | 2016 | $74.95 | £62.95 | ISBN: 9780691636443
148 pp. | 6 x 9 1/4
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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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