The classification on a class of weakly weighted Einstein-Finsler metrics (Q6611118)

Let \((M,\alpha)\) be a Riemannian manifold. The authors consider Finsler metrics of the form \(\frac{(\alpha + \beta)^2}{\alpha}\) with some conditions on a \(1\)-form \(\beta\) and on the Ricci curvature of \(\alpha\). They study generalized the weighted Ricci curvatures of these metrics, which include the \(N\)-Ricci curvature and the projective Ricci curvature, and classify a class of weakly weighted Einstein-Finsler metrics.