Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran
10.22034/kjm.2023.389192.2801
Abstract
A weakly Berwald metric is called a conformally closed weakly Berwald metric if for any conformal change remains a weakly Berwald metric. In this paper, we study the conformally closed weakly Berwald metrics and find the necessary and sufficient condition under which a weakly Berwald metric be conformally closed. We show that a Randers metric is a conformally closed weakly Berwald metric if and only if it is a Riemannian metric or the conformal transformation is homothety.
Tayebi, A., & Eslami, F. (2023). Conformally closed weakly Berwald metrics. Khayyam Journal of Mathematics, 9(2), 314-321. doi: 10.22034/kjm.2023.389192.2801
MLA
Akbar Tayebi; Faezeh Eslami. "Conformally closed weakly Berwald metrics". Khayyam Journal of Mathematics, 9, 2, 2023, 314-321. doi: 10.22034/kjm.2023.389192.2801
HARVARD
Tayebi, A., Eslami, F. (2023). 'Conformally closed weakly Berwald metrics', Khayyam Journal of Mathematics, 9(2), pp. 314-321. doi: 10.22034/kjm.2023.389192.2801
VANCOUVER
Tayebi, A., Eslami, F. Conformally closed weakly Berwald metrics. Khayyam Journal of Mathematics, 2023; 9(2): 314-321. doi: 10.22034/kjm.2023.389192.2801
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