Classification of stationary compact homogeneous special pseudo Kähler manifolds of semisimple groups
Abstract
Description
The variation of Hodge structure of a Calabi-Yau 3-fold induces a canonical Kähler metric on its Kuranishi moduli space, known as the Weil-Petersson metric. Similarly, special pseudo Kähler manifolds correspond to certain (abstract) variations of Hodge structure which generalize the above example. We give the classification of homogeneous special pseudo Kähler manifolds of semisimple groups with compact stabilizer.
Final version to appear in the Proceedings of the London Mathematical Society; Latex
Final version to appear in the Proceedings of the London Mathematical Society; Latex