On Uniformization of Complex Manifolds : : The Role of Connections (MN-22) / / Robert C. Gunning.
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 o...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979 |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2015] ©1978 |
| Year of Publication: | 2015 |
| Language: | English |
| Series: | Mathematical Notes ;
22 |
| Online Access: | |
| Physical Description: | 1 online resource (148 p.) |
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Table of Contents:
- Frontmatter
- PREFACE
- CONTENTS
- § 1. Introduction
- Part I: Description of the pseudogroups
- § 2. The group of k-jets and its Lie algebra
- § 3. The pseudogroups defined by partial differential equations
- § 4. The classification of tangentially transitive pseudogroups: algebraic aspects
- § 5. The classification of tangentially transitive pseudogroups: analytic aspects
- Part II: Description of the connections
- § 6. Pseudogroup structures and their associated connections
- § 7. Complex analytic affine connections
- § 8. Complex analytic projective connections
- § 9. Complex analytic canonical connections
- Part III: Complex analytic surfaces
- § 10. Complex flat canonical structures on surfaces
- § 11. Complex affine structures on surfaces
- § 12. Complex projective structures on surfaces
- Bibliography
- Backmatter