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Maximal Complexifications of Certain Riemannian Homogeneous Manifolds by Halverscheid, S.; Iannuzzi, A. is a scholarly article available to read on EtoBox.

What is Maximal Complexifications of Certain Riemannian Homogeneous Manifolds about?

A characterization of maximal domains of existence of adapted complex structures for Riemannian homogeneous manifolds under certain extensibility assumptions on their geodesic flow is given. This is applied to generalized Heisenberg groups and naturally reductive Riemannian homogeneous spaces. As an application it is shown that the case of generalized Heisenberg groups yields examples of maximal domains of definition for the adapted complex structure which are are neither holomorphically separable, nor holomorphically convex.

Author

Halverscheid, S.; Iannuzzi, A.

Published

2002

Language

EN