The Classification of Three-dimensional Homogeneous Complex Manifolds

1995
ISBN: 978-3-540-59072-9
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1602, 236 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 382 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Winkelmann, Jörg

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Algebra

Inhaltsverzeichnis

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