Asian share indices were mixed today as investors feared that the rise in new COVID-19 cases in some parts of the world may delay the pace of economic recovery.Rise in virus cases in parts of Australia has led officials in the state of Victoria to enact stay-at-home rules for six weeks in areas such as Melbourne.In the US, more than 10,000 new coronavirus cases have been reported, pushing New York to increase its travel quarantine for visitors from three more states, while Miami has rolled back its reopening.A World Health Organization official said on Tuesday that it shouldn't "be a surprise" if COVID-19 deaths begin to rise again. He also warned that there's a gap between rising cases and increasing deaths, and that it takes weeks after contracting the virus to get seriously ill and possibly die from coronavirus.Worried about the rise in new COVID-19 cases, investors turned risk-averse and turned to safe-haven assets such as gold, US Treasury bonds and US dollar.