Classification of stationary compact homogeneous special pseudo Kähler manifolds of semisimple groups

Details Classification of stationary compact homogeneous special pseudo Kähler manifolds of semisimple groups Classification of stationary compact homogeneous special pseudo Kähler manifolds of semisimple groups

1997-11-11

arxiv.org/abs/dg-ga/9711008v2

Mathematics

Differential Geometry

Final version to appear in the Proceedings of the London Mathematical Society; Latex

Scientific paper

The variation of 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, 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.

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