Singh, Achal, Kumar, Manoj, Mishra, Chayan. (1400). Locally projectively flatness and locally dually flatness of generalized Kropina conformal change of $m$-th root metric. نشریه مهندسی عمران امیرکبیر, 3(1), 27-33. doi: 10.22060/ajmc.2021.20561.1070
Achal Singh; Manoj Kumar; Chayan Kumar Mishra. "Locally projectively flatness and locally dually flatness of generalized Kropina conformal change of $m$-th root metric". نشریه مهندسی عمران امیرکبیر, 3, 1, 1400, 27-33. doi: 10.22060/ajmc.2021.20561.1070
Singh, Achal, Kumar, Manoj, Mishra, Chayan. (1400). 'Locally projectively flatness and locally dually flatness of generalized Kropina conformal change of $m$-th root metric', نشریه مهندسی عمران امیرکبیر, 3(1), pp. 27-33. doi: 10.22060/ajmc.2021.20561.1070
Singh, Achal, Kumar, Manoj, Mishra, Chayan. Locally projectively flatness and locally dually flatness of generalized Kropina conformal change of $m$-th root metric. نشریه مهندسی عمران امیرکبیر, 1400; 3(1): 27-33. doi: 10.22060/ajmc.2021.20561.1070

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
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