On Ricci quadratic Finsler spaces

On Ricci quadratic Finsler spaces

In this paper, we have investigated Ricci quadratic Finsler metrics. We know that all R- quadratic Finsler metrics have vanishing non-Riemannian H curvature which is previously only known in the case of Randers metric. R-quadratic Finsler metrics are Ricci quadratic, but there are some Ricci quadratic Finsler metrics which are not R-quadratic metrics. We prove that all Ricci quadratic Finsler metrics are vanishing H curvature.