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arxiv: math/0509662 · v3 · pith:RFTTOT5Inew · submitted 2005-09-28 · 🧮 math.DG

Killing vector fields with twistor derivative

classification 🧮 math.DG
keywords twistorderivativeformkillingmanifoldsvectorcarryingcharacterization
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Motivated by the possible characterization of Sasakian manifolds in terms of twistor forms, we give the complete classification of compact Riemannian manifolds carrying a Killing vector field whose covariant derivative (viewed as a 2-form) is a twistor form.

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