A geometric approach to Mather quotient problem

Wei Cheng, Wenxue Wei

Let $(M,g)$ be a closed, connected and orientable Riemannian manifold with nonnegative Ricci curvature. Consider a Lagrangian $L(x,v):TM\to \mathbb{R}$ defined by $L(x,v):=\frac 12g_x(v,v)-…