Classical solutions of Yang-Mills fields (Selected topics). 1

This is an enlarged version of a talk given in two parts. As will be seen, the static, spherically symmetric, conformally flat de Sitter space provides the link between the two parts. But Part 2 can very well be considered entirely separately. To avoid making this report even longer I have assumed certain results as known. In Part 1 this includes standard ones in general relativity as well as various aspect of gravitational instantons. In Part 2 familiarity with standard constructions of instantons and of selfdual monopoles, which emerge as limits in our formalism, has been assumed. I present exclusively our results and not comprehensive reviews of these domains. For each part one general reference for background material has been included. (author)