Distances Induced by Barbilian's Metrization Procedure

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dc.creatorBoskoff, Wladimir G.
dc.creatorCiuca, Marian G.
dc.creatorSuceava, Bogdan D.
dc.date2006-06-24
dc.date.accessioned2026-07-07T07:17:38Z
dc.date.available2026-07-07T07:17:38Z
dc.descriptionSeveral authors have pointed out the connection between Barbilian's metric introduced in 1934 and the recent study of Apollonian metrics. We provide examples of various distances that can be obtained by Barbilian's metrization procedure and we discuss the relation between this metrization procedure and important Riemannian and generalized Lagrangian metrics. Then we prove an extension of Barbilian's metrization procedure.
dc.descriptionTo appear in Houston J. Math
dc.identifierhttps://arxiv.org/abs/math/0606608
dc.identifierhttp://arxiv.org/abs/math/0606608
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114010
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subjectPrimary 53B40; Secondary 53C60, 51K05, 30C62
dc.titleDistances Induced by Barbilian's Metrization Procedure
dc.typetext

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