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Locally dually flatness and locally projectively flatness of Matsumoto change with m-th root Finsler metrics | ||
Journal of Finsler Geometry and its Applications | ||
مقاله 2، دوره 2، شماره 1، مهر 2021، صفحه 31-39 اصل مقاله (91.64 K) | ||
نوع مقاله: Original Article | ||
شناسه دیجیتال (DOI): 10.22098/jfga.2021.1261 | ||
نویسنده | ||
Manoj Kumar* | ||
Department of Mathematics and Stataistics, Faculty of Science, Dr. Rammanohar Lohia Avadh University, Ayodhya-224001, India. E-mail: mvermamath@gmail.com and mkvermabhu1986@gmail.com | ||
چکیده | ||
In this paper, we study the Matsumoto change of m-th root Finsler metric. We find the necessary and sufficient conditions under which the transformed metric be locally dually flat. Also, we prove that for Matsumoto change of m-th root metric is locally projectively flat if and only if it is locally Minkowskian. | ||
کلیدواژهها | ||
Finsler metric؛ m-th root metric؛ Matsumoto change؛ Locally projectively flat metric and Locally dually flat metric | ||
مراجع | ||
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آمار تعداد مشاهده مقاله: 236 تعداد دریافت فایل اصل مقاله: 255 |