On a class of Ricci-quadratic Finsler metrics

Let F be a (reversible) Finsler metric on a Riemannian space (M, α) of positive (or negative) sectional curvature. Suppose that the Ricci curvature of F is horizontally constant along Finslerian geodesics. Then we show that F is a Ricci-quadratic Finsler metric.

کلیدواژه ها:

Finsler space ، Ricci-quadratic Finsler metric ، H-curvature ، Anisotropic space-time