In　this　note,　we　study　a　new　Finslerian　quantity　(C)　over　cap　defined　by　the　Riemannian　curvature.　We　prove　that　the　newFinslerian　quantity　is　a　non-Riemannian　quantity　for　a　Finsler　manifold　with　dimension　n　=　3.　Then　we　study　Finsler　metrics　of　scalar　curvature.　We　find　that　the　(C)　over　cap　-curvature　is　closely　related　to　the　flag　curvature　and　the　H-curvature.　We　show　that　(C)　over　cap　-curvature　gives,　a　measure　of　the　failure　of　a　Finsler　metric　to　be　of　weakly　isotropic　flag　curvature.　We　also　give　a　simple　proof　of　the　Najafi-Shen-Tayebi＇　theorem.