TY - JOUR T1 - Warped f-product Finsler Metrics TT - Bükülmüş f-Çarpımlı Finsler Metrikleri AU - Ulgen, Semaıl PY - 2023 DA - November Y2 - 2023 DO - 10.35193/bseufbd.1166374 JF - Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi PB - Bilecik Seyh Edebali University WT - DergiPark SN - 2458-7575 SP - 295 EP - 302 VL - 10 IS - 2 LA - en AB - This paper shows the existence of some Ricci-flat warped f-Product Finsler metrics. We investigate the general structure of this newly defined warped f-Product Finsler metrics, indeed we identify the metric form, spray coefficients of geodesics of the metric, and also the Ricci curvature in regards to the α_1 and α_2 Riemanian metrics. KW - Warped f-Product Finsler metrics KW - Ricci Curvature KW - Sprays KW - Riemanian Curvature N2 - Bu makalede bazı Ricci-Düz bükülmüş f-Çarpımlı Finsler metriklerinin varlıkları gösterilmektedir. Bu yeni tanımlanan bükülmüş f-Çarpımlı Finsler metriklerinin genel yapısını araştırarak, metrik formunu, metriğin geodesiklerinin sprey katsayıları ve α_1 ve α_2 Riemanian metriklerine bağlı Ricci eğriliklerini belirledik. CR - Beem, J. K., Ehrlich, P. E., & Easley, K. L. (1996). Global Lorentzian Geometry 2nd ed. Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker, New York, NY, USA, 202. CR - Ganchev, G., & Mihova, V. (2000). Riemannian manifolds of quasi-constant sectional curvatures, Journal fur die Reine und Angewandte Mathematik, 522, 119–141. CR - O’Neill, B., (1983). Semi-Riemannian Geometry: With Applications to Relativity. Pure and Applied Mathematics, Academic Press, New York, NY, USA, 103. CR - Chern, S.S., & Shen, Z. (2005). Riemann-Finsler Geometry. World Scientific Publishers, Nankai Tracts in Mathematics, 6. UR - https://doi.org/10.35193/bseufbd.1166374 L1 - https://dergipark.org.tr/en/download/article-file/2613520 ER -