Non Kaehler solvmanifolds with generalized Kaehler structure

Details Non Kaehler solvmanifolds with generalized Kaehler structure Non Kaehler solvmanifolds with generalized Kaehler structure

2007-02-06

arxiv.org/abs/math/0702164v3

Mathematics

Differential Geometry

New title. To appear in J. Sympl. Geom

Scientific paper

We construct a compact 6-dimensional solvmanifold endowed with a non-trivial
invariant generalized K\"ahler structure and which does not admit any K\"ahler
metric. This is in contrast with the case of nilmanifolds which cannot admit
any invariant generalized K\"ahler structure unless they are tori.

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