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arXiv · 1503.05963

A note on tame/compatible almost complex structures on four-dimensional Lie algebras

Andres Cubas·Tedi Draghici
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Abstract

Four-dimensional, oriented Lie algebras $\mathfrak{g}$ which satisfy the tame-compatible question of Donaldson for all almost complex structures $J$ on $\mathfrak{g}$ are completely described. As a consequence, examples are given of (non-unimodular) four-dimensional Lie algebras with almost complex structures which are tamed but not compatible with symplectic forms.

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Andres Cubas, Tedi Draghici. 2015-03-19. A note on tame/compatible almost complex structures on four-dimensional Lie algebras. https://doi.org/10.1016/j.geomphys.2015.08.020

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