Locally Euclidean metrics on R^3

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dc.creatorKim, Young Deuk
dc.date2007-02-15
dc.date2007-02-16
dc.date.accessioned2026-07-07T07:47:05Z
dc.date.available2026-07-07T07:47:05Z
dc.descriptionFor all 0<t \leq 1, we define a locally Euclidean metric ρ_t on R^3. These metrics are invariant under Euclidean isometries and, if t increases to 1, converges to the Euclidean metric d_E. This research is motivated by expanding universe.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0702453
dc.identifierhttp://arxiv.org/abs/math/0702453
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124045
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject85A40 ; 57M50
dc.titleLocally Euclidean metrics on R^3
dc.typetext

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