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Locally projectively flatness and locally dually flatness of generalized Kropina conformal change of $m$-th root metric | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 4، دوره 3، شماره 1، اردیبهشت 2022، صفحه 27-33 اصل مقاله (300.56 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2021.20561.1070 | ||
| نویسندگان | ||
| Achal Singh1؛ Manoj Kumar* 2؛ Chayan Kumar Mishra2 | ||
| 1Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University Mathura-281406, India | ||
| 2Department of Mathematics and Statistics, Dr. Rammanohar Lohiya Avadh University, Ayodhya-224001, India | ||
| چکیده | ||
| In this paper, we consider the generalized Kropina conformal change of $m$-th root metric and for this, prove a necessary and sufficient condition of locally projectively flatness. Also we proved a necessary and sufficient condition for the generalized Kropina conformal change of $m$-th root metric is locally dually flat. | ||
| کلیدواژه‌ها | ||
| Finsler metric؛ Kropina metric؛ Generalized Kropina metric؛ $m$-th root metrics؛ Locally projectively flat؛ Conformal change؛ Locally dually flat | ||
| مراجع | ||
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