Volume 36 • Number 3 • 2013   • On Generalized Douglas-Weyl Spaces Akbar Tayebi, Hassan Sadeghi and Esmaeil Peyghan Abstract. In this paper, we show that the class of R-quadratic Finsler spaces is a proper subset of the class of generalized Douglas-Weyl spaces. Then we prove that all generalized Douglas-Weyl spaces with vanishing Landsberg curvature have vanishing the non-Riemannian quantity $\bf H$, generalizing result previously only known in the case of R-quadratic metric. Also, this yields an extension of well-known Numata's Theorem. 2010 Mathematics Subject Classification: 53C60, 53C25 Full text: PDF