[PDF][PDF] On generalized Douglas-Weyl spaces
A Tayebi, H Sadeghi, E Peyghan - Bull. Malays. Math. Sci. Soc …, 2013 - kurims.kyoto-u.ac.jp
A Tayebi, H Sadeghi, E Peyghan
Bull. Malays. Math. Sci. Soc.(2), 2013•kurims.kyoto-u.ac.jpIn 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 H, generalizing result previously only known in the case of R-quadratic metric. Also,
this yields an extension of well-known Numata's Theorem.
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 H, generalizing result previously only known in the case of R-quadratic metric. Also,
this yields an extension of well-known Numata's Theorem.
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 H, generalizing result previously only known in the case of R-quadratic metric. Also, this yields an extension of well-known Numata’s Theorem.
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