Kahler metrics whose geodesics are circles

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dc.creatorTimorin, Vladlen
dc.date2001-12-06
dc.date.accessioned2026-07-07T04:45:02Z
dc.date.available2026-07-07T04:45:02Z
dc.descriptionWe 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).
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0112053
dc.identifierhttp://arxiv.org/abs/math/0112053
dc.identifierProceedings of the Conference "Fundamental Mathematics Today", 2003, pp. 284-293
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62828
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53B35; 53C22
dc.titleKahler metrics whose geodesics are circles
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