Stein Manifolds and Holomorphic Mappings The Homotopy Principle in Complex Analysis /

• Main Author: Forstnerič, Franc (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Edition: 2nd ed. 2017.
• Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 56
• Subjects: Mathematics.; Functions of complex variables.; Global analysis (Mathematics).; Manifolds (Mathematics).; Functions of a Complex Variable.; Global Analysis and Analysis on Manifolds.; Several Complex Variables and Analytic Spaces.

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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.