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The Classification of Three-Dimensional Homogeneous Complex Manifolds

  • Authors
  • Jörg Winkelmann

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

Table of contents

About this book

Introduction

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

  • DOI https://doi.org/10.1007/BFb0095837
  • Copyright Information Springer-Verlag Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-59072-9
  • Online ISBN 978-3-540-49185-9
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site