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Homogeneous Kähler and Sasakian structures related to complex hyperbolic spaces

Published online by Cambridge University Press:  30 April 2010

P. M. Gadea
Affiliation:
Instituto de Física Fundamental, CSIC, Serrano 113-bis, 28006 Madrid, Spain ([email protected])
J. A. Oubiña
Affiliation:
Departamento de Xeometría e Topoloxía, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain ([email protected])
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Abstract

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We study homogeneous Kähler structures on a non-compact Hermitian symmetric space and their lifts to homogeneous Sasakian structures on the total space of a principal line bundle over it, and we analyse the case of the complex hyperbolic space.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2010