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Classification of Stationary Compact Homogeneous Special Pseudo‐Kähler Manifolds of Semisimple Groups
Author(s) -
Alekseevsky D. V.,
Cortés V.
Publication year - 2000
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/s0024611500012363
Subject(s) - mathematics , pure mathematics , homogeneous , moduli space , hodge structure , metric (unit) , kähler manifold , mathematics subject classification , mathematical analysis , combinatorics , cohomology , operations management , economics
The variation of the 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. 1991 Mathematics Subject Classification : 53C30, 53C25.