Professor Douglas McKie

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.

Winsor , Major Professor Albert Choi , Minor Professor

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.

Professor Bahram Peimani-Fard

Bahram Peimani-Fard was born in 1941, in Yazd, Iran, where he completed his elementary, and high school education. He received his M.Sc. degree in Soil and Water Engineering from the Faculty of Agriculture, Shiraz University. Then, he was employed in the Range Improvement and Forage Supply Organization, affiliated with the Ministry of Agriculture to collaborate with Mr. Kernik, the FAO expert...