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Rezaei, Bahman, Jalili, Samaneh, Ghasemnezhad, Laya. (1400). On conformal change of projective Ricci curvature of Kropina metrics. سامانه مدیریت نشریات علمی, 2(2), 1-13. doi: 10.22098/jfga.2021.1364
Bahman Rezaei; Samaneh Jalili; Laya Ghasemnezhad. "On conformal change of projective Ricci curvature of Kropina metrics". سامانه مدیریت نشریات علمی, 2, 2, 1400, 1-13. doi: 10.22098/jfga.2021.1364
Rezaei, Bahman, Jalili, Samaneh, Ghasemnezhad, Laya. (1400). 'On conformal change of projective Ricci curvature of Kropina metrics', سامانه مدیریت نشریات علمی, 2(2), pp. 1-13. doi: 10.22098/jfga.2021.1364
Rezaei, Bahman, Jalili, Samaneh, Ghasemnezhad, Laya. On conformal change of projective Ricci curvature of Kropina metrics. سامانه مدیریت نشریات علمی, 1400; 2(2): 1-13. doi: 10.22098/jfga.2021.1364

On conformal change of projective Ricci curvature of Kropina metrics

Journal of Finsler Geometry and its Applications
دوره 2، شماره 2، اسفند 2021، صفحه 1-13    اصل مقاله (98.54 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2021.1364
نویسندگان
Bahman Rezaei* 1؛ Samaneh Jalili2؛ Laya Ghasemnezhad3
1Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. b.rezaei@urmia.ac.ir
2Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. s.jalili@urmia.ac.ir
3Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. l.ghasemnezhad@urmia.ac.ir
چکیده
In this paper‎, ‎we study and investigate the conformal change of projective Ricci curvature of Kropina metrics‎. ‎Let F and  F˜ be two conformally related Kropina metrics on a manifold M‎. ‎We prove that PRic˜=  PRic if and only if the conformal transformation is a homothety‎.
کلیدواژه‌ها
‎Kropina metrics‎؛ ‎Projectively Ricci curvature‎؛ ‎Conformal transformation‎
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