Stein Manifolds and Holomorphic Mappings The Homotopy Principle in Complex Analysis
This book, now in a carefully revised second edition, provides an up-to-date account of Oka theory, including the classical Oka-Grauert theory and the wide array of applications to the geometry of Stein manifolds. Oka theory is the field of complex analysis dealing with global problems on Stein mani...
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| Format: | eBook |
| Language: | English |
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Cham
Springer International Publishing
2017, 2017
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| Edition: | 2nd ed. 2017 |
| Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Part I Stein Manifolds
- 1 Preliminaries
- 2 Stein Manifolds
- 3 Stein Neighborhoods and Approximation
- 4 Automorphisms of Complex Euclidean Spaces
- Part II Oka Theory
- 5 Oka Manifolds
- 6 Elliptic Complex Geometry and Oka Theory
- 7 Flexibility Properties of Complex Manifolds and Holomorphic Maps
- Part III Applications
- 8 Applications of Oka Theory and its Methods
- 9 Embeddings, Immersions and Submersions
- 10 Topological Methods in Stein Geometry
- References
- Index