Homotheties of Finsler manifolds

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dc.creatorLovas, R. L.
dc.creatorSzilasi, J.
dc.date2009-04-21
dc.date.accessioned2026-07-07T13:06:50Z
dc.date.available2026-07-07T13:06:50Z
dc.descriptionWe give a new and complete proof of the following theorem, discovered by Detlef Laugwitz: (forward) complete and connected finite dimensional Finsler manifolds admitting a proper homothety are Minkowski vector spaces. More precisely, we show that under these hypotheses the Finsler manifold is isometric to the tangent Minkowski vector space of the fixed point of the homothety via the exponential map of the canonical spray of the Finsler manifold.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0904.3228
dc.identifierhttp://arxiv.org/abs/0904.3228
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227905
dc.subjectDifferential Geometry
dc.subject53C60
dc.titleHomotheties of Finsler manifolds
dc.typetext

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