%0 Journal Article %D 2020 %T Stable vector bundles on the families of curves %A Fedor Bogomolov %A Elena Lukzen %X 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. %G eng