The Classification of Three-dimensional Homogeneous Complex Manifolds

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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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.

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

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