TY - JOUR T1 - Stable vector bundles on the families of curves Y1 - 2020 A1 - Fedor Bogomolov A1 - Elena Lukzen AB - We offer a new approach to proving the Chen-Donaldson-Sun theorem which we demonstrate with a series of examples. We discuss the existence of a construction of a special metric on stable vector bundles over the surfaces formed by a families of curves and its relation to the one-dimensional cycles in the moduli space of stable bundles on curves. ER -