%0 Journal Article
%T Remarks on generalized m-th root metrics
%A Abolfazl Taleshian
%A Dordi Mohamad Saghali
%J International Journal of Mechatronics, Electrical and Computer Technology
%D 2013
%I Austrian E-Journals of Universal Scientific Organization
%X In this paper, we prove that every generalized m-th root Finsler metric with isotropic Landsberg curvature reduces to a Landsberg metric. Then, we show that every generalized m-th root metric with almost vanishing H-curvature has vanishing H-curvature. As well as, we will express a necessary and sufficient condition for the metrics F = ¡Ì(m&A) that is locally projectively flat and locally dually flat. Further, we will express a necessary and sufficient condition for the metric F  =¡Ì(A^(2/m)+B)+ C that be projectively flat. Finally, Randers and conformal ¦Â-changes of the more generalized m-th root metrics are inspected, when m is odd number.
%K generalized m-th root metric
%K Randers change
%K conformal change
%K H-curvature
%K Landsberg metric
%U http://aeuso.org/Vol.3/Vol.3(6),%20Jan,%202013/Remarks%20on%20generalized%20m-th%20root%20metrics.pdf