Remarks on generalized m-th root metrics
سال انتشار: 1392
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 540
فایل این مقاله در 20 صفحه با فرمت PDF قابل دریافت می باشد
- صدور گواهی نمایه سازی
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_IJMEC-3-9_017
تاریخ نمایه سازی: 16 فروردین 1395
چکیده مقاله:
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.
کلیدواژه ها:
نویسندگان
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