Skip to main content
  • Book
  • © 1995

The Classification of Three-dimensional Homogeneous Complex Manifolds

Authors:

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1602)

Buying options

eBook USD 54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

This is a preview of subscription content, access via your institution.

Table of contents (3 chapters)

  1. Front Matter

    Pages I-XI
  2. Survey

    • Jörg Winkelmann
    Pages 1-19
  3. Back Matter

    Pages 225-232

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.

Keywords

  • Homogeneous complex manifolds
  • Lie group
  • Lie groups
  • algebra
  • group theory
  • manifold

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 and Lie Groups

Buying options

eBook USD 54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions