In the process of the present invention, preference is given to polymerizing one or more olefins of the formula R?????CH???CH???R??, where R?? and R?? are identical or different and are each a hydrogen atom: or a hydrocarbon radical having from 1 to 20 carbon atoms, in particular from 1 to 10 carbon atoms, and R?? and R?? together with the atoms connecting them may form one or more rings.