Schliemann was born in Leverkusen, North Rhine-Westphalia on 4 July 1962, and joined the ranks of the RTHC Bayer Leverkusen youth team. In 1981 he won the European Junior Championships, and in 1982 he won the Junior World Cup with the German team in Kuala Lumpur. In 1982 Schliemann made his debut in the senior team. In 1983 Schliemann belonged to the German squad at the European Championships in Amstelveen, where the German team won bronze. In 1984 the German team won the European Indoor Championship title. After taking bronze at the World Cup in 1986 in London and at the European Championships in Moscow in 1987, the German team with Schliemann won again in 1988 at the European Indoor Championships. At the 1988 Summer Olympics in Seoul, Schliemann was a replacement for Tobias Frank and with the team took the silver medal in the team competition. At the World Cup in 1990 in Lahore, Schliemann and national team finished in fourth place.