%0 Journal Article %T ON GENERAL RELATIVELY ISOTROPIC L-CURVATURE FINSLER METRICS %J Iranian Journal of Science %I Springer %Z 2731-8095 %A NAJAFI, B. %A TAYEBI, A. %A REZAII, M. M. %D 2005 %\ 12/28/2005 %V 29 %N 3 %P 357-366 %! ON GENERAL RELATIVELY ISOTROPIC L-CURVATURE FINSLER METRICS %K Finsler metric %K (generalized) Landsberg metric %K (mean) landsberg curavture %K (mean) Cartan tensor %K Douglas tensor %K Funk metric %K Randers metric %R 10.22099/ijsts.2005.2812 %X In this paper the general relatively isotropic L -curvature Finsler metrics are studied. It isshown that on constant relatively Landsberg spaces, the concepts of weakly Landsbergian, Landsbergianand generalized Landsbergian metrics are equivalent. Some necessary conditions for a relativelyisotropic L -curvature Finsler metric to be a Riemannian metric are also found. %U https://ijsts.shirazu.ac.ir/article_2812_3ec2d485739429c1284f819a17e1ed16.pdf