Title of article :
ON R-QUADRATIC FINSLER METRICS
Author/Authors :
NAJAFI, B. shahed university - Department of Science, تهران, ايران , BIDABAD, B. amirkabir university of technology - Department of Mathematics and Computer Science, تهران, ايران , TAYEBI, A. university of qom - Faculty of Science - Department of Mathematics, قم, ايران
Abstract :
We prove that every R-quadratic metric of scalar flag curvature with a dimension greater than two is of constant flag curvature. Then we show that generalized Douglas-Weyl metrics contain R-quadratic metrics as a special case, but the class of R-quadratic metric is not closed under projective transformations.
Keywords :
R , quadratic metric , Landsberg metric , generalized Douglas , Weyl metric
Journal title :
Iranian Journal of Science and Technology Transaction A: Science
Journal title :
Iranian Journal of Science and Technology Transaction A: Science
