Four-dimensional Kähler metrics admitting c-projective vector fields
نویسندگان
چکیده
منابع مشابه
A solution of another problem of Sophus Lie: 2-dimensional metrics admitting precisely one projective vector field
We give a complete list of 2-dimensional metrics that admit an essential projective vector field. This solves a problem posed by Sophus Lie. 1 Main definitions and results Let g be a smooth Riemannian or pseudo-Riemannian metric on a 2-dimensional disc D. Definition 1. A vector field v is called projective, if its flow takes (unparametrised) geodesics to geodesics. As Lie showed [15], the set o...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2015
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2014.07.005