Killing vector fields with twistor derivative

Andrei Moroianu (1)

1 CMLS - Centre de Mathématiques Laurent Schwartz

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.

Mots clés: Killing vector fields; twistor forms; gradient conformal vector fields

Domaines: Géométrie différentielle [math.DG]

Andrei Moroianu. Killing vector fields with twistor derivative. Journal of Differential Geometry, 2007, 77 (1), pp.149-167. ⟨hal-00009182v3⟩