Douglas E. Ashford

Douglas E . Iannucci Towers Condominiums B - 16 3600 Contant

In this paper we consider the equation σ(n) = n + φ(n), for which n = 2 is the only known solution. We provide necessary conditions for the existence of any larger solutions.

Generalized Douglas-Weyl Finsler Metrics

In this paper, we study generalized Douglas-Weyl Finsler metrics. We find some conditions under which the class of generalized Douglas-Weyl (&alpha, &beta)-metric with vanishing S-curvature reduce to the class of Berwald metrics.

Editorial Douglas

On Special Generalized Douglas-Weyl Metrics

In this paper, we study a special class of generalized Douglas-Weyl metrics whose Douglas curvature is constant along any Finslerian geodesic. We prove that for every Landsberg metric in this class of Finsler metrics, ? = 0 if and only if H = 0. Then we show that every Finsler metric of non-zero isotropic flag curvature in this class of metrics is a Riemannian if and only if ? = 0.

Mr. Douglas Mearns Milne