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Non Kaehler solvmanifolds with generalized Kaehler structure

Anna Fino·Adriano Tomassini
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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 Kähler structure unless they are tori.

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Anna Fino, Adriano Tomassini. 2008-07-09. Non Kaehler solvmanifolds with generalized Kaehler structure. https://arxiv.org/abs/math/0702164

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