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Killing vector fields with twistor derivative

Andrei Moroianu

math.DGarXiv:math/0509662

Abstract

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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