Remarks on generalized m-th root metrics

سال انتشار: 1392
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 540

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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:

generalized m-th root metric ، Randers change ، conformal change ، H-curvature ، Landsberg metric

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