We construct a compact 6-dimensional solvmanifold endowed with a non-trivial invariant generalized Kähler structure and which does not admit any Kähler metric. This is in contrast with the case of nilmanifolds which cannot admit any invariant generalized Kä̈hler structure unless they are tori.
Non-Kaehler solvmanifolds with generalized Kaehler structure / A., Fino; Tomassini, Adriano. - In: JOURNAL OF SYMPLECTIC GEOMETRY. - ISSN 1527-5256. - 7:(2009), pp. 1-14.
Non-Kaehler solvmanifolds with generalized Kaehler structure
TOMASSINI, Adriano
2009-01-01
Abstract
We construct a compact 6-dimensional solvmanifold endowed with a non-trivial invariant generalized Kähler structure and which does not admit any Kähler metric. This is in contrast with the case of nilmanifolds which cannot admit any invariant generalized Kä̈hler structure unless they are tori.File in questo prodotto:
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