Almost quaternionic structures on compact rank one symmetric spaces

Eugenia Loiudice; Grigory Solomadin; Oliver Goertsches; Panagiotis Konstantis

arxiv: 2606.12659 · v1 · pith:ZZLJYTGDnew · submitted 2026-06-10 · 🧮 math.AT · math.DG· math.KT

Almost quaternionic structures on compact rank one symmetric spaces

Oliver Goertsches , Panagiotis Konstantis , Eugenia Loiudice , Grigory Solomadin This is my paper

classification 🧮 math.AT math.DGmath.KT

keywords mathbbalmostquaternionicadmitcompactcrosseshomogeneousnecessarily

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We prove that the only CROSSes that admit a (not necessarily homogeneous) almost quaternionic structure are ${\mathbb{H}} {\mathbb{P}}^n$ and ${\mathbb{C}} {\mathbb{P}}^2$.

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Almost quaternionic structures on compact rank one symmetric spaces

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