By Riley Gutiérrez McDermid Publicly held hotel companies are quitting their projects in Russia. Their shareholders are often very engaged. Hotel giants Hyatt (H) – Get Hyatt Hotels Corporation Class A Report, Marriott (MAR) – Get Marriott International, Inc. Class A Report, IHG (IHG) – Get InterContinental Hotels Group Plc Report and Hilton (HLT) – Get Hilton Worldwide Holdings Inc Report said this week that they were pulling out of all their ongoing projects in Russia, as fighting between the country and its neighbor Ukraine intensified. Accor Hotels ACCYY joined the group as well and said i…