Remarks on generalized m-th root metrics
عنوان مقاله: Remarks on generalized m-th root metrics
شناسه ملی مقاله: JR_IJMEC-3-9_017
منتشر شده در شماره 9 دوره 3 فصل Oct در سال 1392
شناسه ملی مقاله: JR_IJMEC-3-9_017
منتشر شده در شماره 9 دوره 3 فصل Oct در سال 1392
مشخصات نویسندگان مقاله:
Abolfazl Taleshian - Department of Mathematics, Faculty Of Mathematical Science,University of Mazandaran, Babolsar, Iran
Dordi Mohamad Saghali - Department of Mathematics, Faculty Of Mathematical Science,University of Mazandaran, Babolsar, Iran
خلاصه مقاله:
Abolfazl Taleshian - Department of Mathematics, Faculty Of Mathematical Science,University of Mazandaran, Babolsar, Iran
Dordi Mohamad Saghali - Department of Mathematics, Faculty Of Mathematical Science,University of Mazandaran, Babolsar, Iran
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.
کلمات کلیدی: generalized m-th root metric; Randers change; conformal change; H-curvature; Landsberg metric
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/443318/