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The Classification of Three-dimensional Homogeneous Complex Manifolds

  • Book
  • © 1995

Overview

Authors:
  1. Jörg Winkelmann
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1602)

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Table of contents (3 chapters)

  1. Front Matter

    Pages I-XI
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  2. Survey

    • Jörg Winkelmann
    Pages 1-19

  3. The classification of three-dimensional homogeneous complex manifolds X=G/H where G is a complex lie group

    • Jörg Winkelmann
    Pages 20-84

  4. The classification of three-dimensional homogeneous complex manifolds X=G/H where G is a real lie group

    • Jörg Winkelmann
    Pages 85-224

  5. Back Matter

    Pages 225-232
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Keywords

About this book

This book provides a classification of all three-dimensional complex manifolds for which there exists a transitive action (by biholomorphic transformations) of a real Lie group. This means two homogeneous complex manifolds are considered equivalent if they are isomorphic as complex manifolds. The classification is based on methods from Lie group theory, complex analysis and algebraic geometry. Basic knowledge in these areas is presupposed.

Bibliographic Information

  • Book Title: The Classification of Three-dimensional Homogeneous Complex Manifolds

  • Authors: Jörg Winkelmann

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0095837

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1995

  • Softcover ISBN: 978-3-540-59072-9Published: 06 April 1995

  • eBook ISBN: 978-3-540-49185-9Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 236

  • Topics: Analysis, Topological Groups, Lie Groups

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