[File picture shows Cypriot President Anastasiades, Israeli Prime Minister Netanyahu and Greek Prime Minister Tsipras shaking hands in Nicosia, Cyprus]By Luke Baker JERUSALEM (Reuters) - Israel, Cyprus and Greece have agreed to deepen their energy, security and tourism ties in the Eastern Mediterranean, a deal that may have implications for Israel's testy relationship with the European Union, too. "We live in a turbulent, fluid environment," said Netanyahu, emphasising working together on policies from tourism to water-management would make all three states stronger.