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arXiv · 2502.03306

Almost abelian complex nilmanifolds

Adrián Andrada·Romina M. Arroyo·María L. Barberis·Sönke Rollenske·Konstantin Wehler
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Abstract

We show that a complex structure on a nilpotent almost abelian real Lie algebra is unique if it exists. As a consequence, we get full control over the cohomology and deformations of almost abelian complex nilmanifolds.

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Adrián Andrada, Romina M. Arroyo, María L. Barberis, Sönke Rollenske, Konstantin Wehler. 2025-02-05. Almost abelian complex nilmanifolds. https://arxiv.org/abs/2502.03306

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