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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 | ||
| مراجع | ||
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