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arXiv · 2609.21773

Conformal Killing $2$-Forms on Compact Symmetric Spaces

Andrei Moroianu·Uwe Semmelmann
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Abstract

We show that a simply connected compact symmetric space of dimension $n\ge 3$ admits a conformal Killing $2$-form which is not Killing if and only if it is homothetic to one of $\mathbb{S}^n$, $\mathbb{CP}^m$ or $\mathbb{HP}^q$.

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Andrei Moroianu, Uwe Semmelmann. 2026-09-18. Conformal Killing $2$-Forms on Compact Symmetric Spaces. https://arxiv.org/abs/2609.21773

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