Locally dually flatness and locally projectively flatness of Matsumoto change with m-th root Finsler metrics
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JFGA-2-1_002
تاریخ نمایه سازی: 18 آبان 1402
Abstract:
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.
Keywords:
Finsler metric , m-th root metric , Matsumoto change , Locally projectively flat metric and Locally dually flat metric
Authors
Manoj Kumar
Department of Mathematics and Stataistics, Faculty of Science, Dr. Rammanohar Lohia Avadh University, Ayodhya-۲۲۴۰۰۱, India. E-mail: mvermamath@gmail.com and mkvermabhu۱۹۸۶@gmail.com