General (α, β)-Metrics With Constant Ricci and Flag Curvature

Document Type : Original Article


Department of Industrial Engineering, Antalya Bilim University Ciplakl Mahallesi Farabi Caddesi No: 23, Dösemealt, Antalya, 07190, Turkey


General (α, β) metrics form a rich and important class of metrics. Many well-known Finsler metrics of constant flag curvature can be locally expressed as a general (α, β) metrics. In this paper, we study the general (α, β) metrics with constant Ricci curvature (tensor) and constant flag curvature. Moreover we study the vanishing non-Riemannian quantity χ-curvature.