Journal of Symplectic Geometry

Non-Kähler solvmanifolds with generalized Kähler structure

Anna Fino and Adriano Tomassini

Full-text: Open access

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.

Article information

Source
J. Symplectic Geom., Volume 7, Number 2 (2009), 1-14.

Dates
First available in Project Euclid: 17 April 2009

Permanent link to this document
https://projecteuclid.org/euclid.jsg/1239974378

Mathematical Reviews number (MathSciNet)
MR2496412

Zentralblatt MATH identifier
1203.53070

Citation

Fino, Anna; Tomassini, Adriano. Non-Kähler solvmanifolds with generalized Kähler structure. J. Symplectic Geom. 7 (2009), no. 2, 1--14. https://projecteuclid.org/euclid.jsg/1239974378


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