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Harmonic-Killing vector fields on Kähler manifolds

C.T.J. Dodson, M. Trinidad Pérez and M.E. Vázquez-Abal
Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie
Nouvelle Série, Vol. 43 (91), No. 3/4, Ce volume est dédié à la mémoire de Gheorghe Vrănceanu (2000), pp. 213-224
Stable URL: http://www.jstor.org/stable/43678663
Page Count: 12
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Harmonic-Killing vector fields on Kähler manifolds
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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 a-pluriharmonicity (α harmonic 2-form) of the local infinitesimal transformations, obtaining characterisations of these kind of vector fields.

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