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arXiv · 2311.11027

On anti-quasi-Sasakian manifolds of maximal rank

Dario Di Pinto
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Abstract

We discuss the existence of invariant anti-quasi-Sasakian (aqS) structures of maximal rank on compact homogeneous Riemannian manifolds and on nilpotent Lie groups. In the former case we obtain a non-existence result, while in the latter case we provide a complete classification. We also show that every compact aqS manifold has nonvanishing second Betti number.

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Dario Di Pinto. 2023-11-18. On anti-quasi-Sasakian manifolds of maximal rank. https://arxiv.org/abs/2311.11027

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