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CLASSIFICATION OF STATIONARY COMPACT HOMOGENEOUS SPECIAL PSEUDO-KÄHLER MANIFOLDS OF SEMISIMPLE GROUPS

Published online by Cambridge University Press:  01 July 2000

D. V. ALEKSEEVSKY  and
V. CORTÉS
D. V. ALEKSEEVSKY
Affiliation:
Sophus Lie Center, Gen. Antonova 2-99, 117279 Moscow, Russiadaleksee@esi.ac.at
V. CORTÉS
Affiliation:
Mathematisches Institut, Universität Bonn, Beringstrasse 1, 53115 Bonn, Germanyvicente@math.uni-bonn.de
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Abstract

The variation of the Hodge structure of a Calabi--Yau 3-fold induces a canonical K\"ahler metric on its Kuranishi moduli space, known as the Weil--Petersson metric. Similarly, {\it special} pseudo-K\"ahler manifolds correspond to certain (abstract) variations of Hodge structure which generalize the above example. We give the classification of homogeneous special pseudo-K\"ahler manifolds of semisimple groups with compact stabilizer. 1991 Mathematics Subject Classification: 53C30, 53C25.

Keywords

special K\"ahler manifolds
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 81 , Issue 1 , July 2000 , pp. 211 - 230
Copyright
2000 London Mathematical Society

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