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19 April 2024
 
  » arxiv » math/0604526

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Finsleroid--Finsler Space and Spray Coefficients
G.S. Asanov ; PostScript ; PDF ; Other formats ;
Date 25 Apr 2006
Subject Differential Geometry; Metric Geometry
AbstractIn the previous work, the notion of the Finsleroid--Finsler space have been formulated and the necessary and sufficient conditions for the space to be of the Landsberg type have been found. In the present paper, starting with particular spray coefficients, we demonstrate how the Landsberg condition can explicitly appear in case of the Finsleroid--type metric function. Calculations are supplementing by a convenient special Maple--program. The general form of the associated geodesic spray coefficients is presented for such metric function under the condition of constancy of the Finsleroid charge.
Key words: Finsler geometry, metric spaces, spray.
Source arXiv, math/0604526
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