Author | Winkelmann, Jรถrg. author |
---|---|

Title | The Classification of Three-Dimensional Homogeneous Complex Manifolds [electronic resource] / by Jรถrg Winkelmann |

Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1995 |

Connect to | http://dx.doi.org/10.1007/BFb0095837 |

Descript | XII, 236 p. online resource |

SUMMARY

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

CONTENT

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

Mathematics
Topological groups
Lie groups
Mathematical analysis
Analysis (Mathematics)
Mathematics
Analysis
Topological Groups Lie Groups