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arXiv · 2606.22653

Semi-integrable almost hyperhermitian structures

Giovanni Gentili·Andrei Moroianu
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Abstract

In this work, we introduce a family of almost hyperhermitian structures that we call semi-integrable. We subdivide them into four disjoint classes and show that each class is non-empty. Finally, we construct semi-integrable almost hyperhermitian structures on all reductive Lie algebras of compact type and dimension $4n$, with $n\geq 2$.

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Giovanni Gentili, Andrei Moroianu. 2026-06-21. Semi-integrable almost hyperhermitian structures. https://arxiv.org/abs/2606.22653

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