Title:  Harmonic-Killing vector fields on K\"{a}hler manifolds

Authors:  C.T.J. Dodson,  M.Trinidad P\'erez and M.E. V\'azquez-Abal

Notes: 9 pages, to appear in Bull. Math. Soc. Roumanie 43(2000), 213-224

Abstract:
           In a previous paper we have considered the harmonicity of 
local infinitesimal transformations associated to a vector field on a
(pseudo)-Riemannian manifold to characterise intrinsically a class of
vector fields that we have called harmonic-Killing vector fields. In this
paper we extend this study to other properties, such as the
pluriharmonicity and the $\alpha$-pluriharmonicity ($\alpha$ harmonic
2-form) of the local infinitesimal transformations, obtaining
characterisations of these kind of vector fields.