Finsleroid--Finsler Space with Berwald and Landsberg Conditions

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dc.creatorAsanov, G. S.
dc.date2006-03-20
dc.date.accessioned2026-07-07T07:07:05Z
dc.date.available2026-07-07T07:07:05Z
dc.descriptionWe formulate the notion of the Finsleroid--Finsler space, including the positive--definite as well as indefinite cases. The associated concepts of angle, scalar product, and the distance function are elucidated. If the Finsleroid--Finsler space is of Landsberg type, then the Finsleroid charge is a constant. The Finsleroid--Finsler space proves to be a Berwald space if and only if the Finsleroid--axis 1-form is parallel with respect to the associated Riemannian metric and, simultaneously, the Finsleroid charge is a constant. The necessary and sufficient conditions for the Finsleroid--Finsler space to be of the Landsberg type are found, which are explicit and simple. The structure of the associated curvature tensors has been elucidated.
dc.identifierhttps://arxiv.org/abs/math/0603472
dc.identifierhttp://arxiv.org/abs/math/0603472
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110261
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.titleFinsleroid--Finsler Space with Berwald and Landsberg Conditions
dc.typetext

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