2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62828We classify all Kahler metrics in an open subset of $C^2$ whose real geodesics are circles. All such metrics are equivalent (via complex projective transformations) to Fubini metrics (i.e. to Fubini-Study metric on $CP^2$ restricted to an affine chart, to the complex hyperbolic metric in the unit ball model or to the Euclidean metric).10 pagesDifferential GeometryMetric Geometry53B35; 53C22text