On two curvature-driven problemsin Riemann–Finsler geometry

摘要

This article uses the Berwald connection exclusively, together withits two curvatures, to cut an efficient path across the landscape ofFinsler geometry. Its goal is to initiate differential geometers into twokey research areas in the field: the search for unblemished "unicorns"and the study of Ricci flow. The exposition is almost self-contained.