Locally projectively flatness and locally dually flatness of generalized Kropina conformal change of $m$-th root metric

نویسندگان
Singh, Achal ID 1
Mishra, Chayan Kumar ID 2
Kumar, Manoj ID 3

1 Department of Mathematics Institute of Applied Sciences and Humanities GLA University Mathura-281406, India

2 Department of Mathematics and Statistics, Dr. Rammanohar Lohiya Avadh University, Ayodhya-224001, India

3 Department of Mathematics and Statistics, Dr. Rammanohar Lohiya Avadh University, Ayodhya-224001, India

doi
10.22060/ajmc.2021.20561.1070
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