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On semi-P-reducible Finsler manifolds with relatively isotropic Landsberg curvature | ||
Journal of Finsler Geometry and its Applications | ||
دوره 1، شماره 2، اسفند 2020، صفحه 94-104 اصل مقاله (89.88 K) | ||
نوع مقاله: Original Article | ||
شناسه دیجیتال (DOI): 10.22098/jfga.2020.1243 | ||
نویسنده | ||
Morteza Faghfouri* | ||
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz Tabriz. Iran E-mail: faghfouri@tabrizu.ac.ir | ||
چکیده | ||
The class of semi-P-reducible Finsler metrics is a rich and basic class of Finsler metrics that contains the class of L-reducible metrics, C-reducible metrics, and Landsberg metrics. In this paper, we prove that every semi-P-reducible manifold with isotropic Landsberg curvature reduces to semi-C-reducible manifolds. Also, we prove that a semi-P-reducible Finsler metric of relatively isotropic mean Landsberg curvature has relatively isotropic Landsberg curvature if and only if it is a semi-C-reducible Finsler metric. | ||
کلیدواژهها | ||
Finsler metric؛ semi-C-reducible metric؛ C-reducible metric | ||
آمار تعداد مشاهده مقاله: 204 تعداد دریافت فایل اصل مقاله: 146 |