Gabrani, MehranRezaei, BahmanSevim, Esra Sengelen2024-07-182024-07-1820211422-63831420-9012https://doi.org/10.1007/s00025-021-01355-zhttps://hdl.handle.net/11411/7099In this paper, we study Xi -curvature and H-curvature of a special class of Finsler metrics called general (alpha,beta)-metrics. We prove that every general (alpha,beta)-metric of almost vanishing H-curvature is of almost vanishing Xi -curvature under certain conditions. Moreover, we study such Finsler metric with vanishing Xi -curvature and its interaction to the flag curvature.eninfo:eu-repo/semantics/closedAccessFinsler MetricGeneral Alpha <Keyword > < Keyword >Beta)-MetricThe H-CurvatureAlmost Vanishing Xi-Curvature53b4053c60Flat General (AlphaBeta)-MetricsArticle2-s2.0-8510083201310.1007/s00025-021-01355-z1Q276Q1WOS:000620142900002