國立清華大學 數學系

Abstract Chains are natural family of curves on a CR manifold. They satisfy a second order ODE and play a role of geodesics in CR geometry. In this talk, we show that chains can be characterized as geodesics of a certain Kropina metric (a singular Finsler metric). As an application, we reprove and generalize some important facts on chains: (i) Two nearby points can be joined by a chain. (ii) Chains determine the CR structure up to conjugacy. This is joint work with J.-H. Cheng, V. S. Matveev, and R. Montgomery.