期刊名称：International Journal of Mechatronics, Electrical and Computer Technology
印刷版ISSN：2305-0543
出版年度：2013
卷号：3
期号：9
页码：504-523
出版社：Austrian E-Journals of Universal Scientific Organization
摘要：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 = √ that is locally projectively flat and locally dually flat. Further, we will express a necessary and sufficient condition for the metric . √ C that be projectively flat. Finally, Randers and conformal -changes of the more generalized m-th root metrics are inspected, when m is odd number.
