The easing of lockdowns around the world and signs that economies are slowly recovering provided further impetus for Asian stocks Tuesday, though traders remain on edge over China-US tensions and growing unrest across several large American cities. Donald Trump’s decision not to impose strict sanctions on Beijing over its Hong Kong security law allowed investors to get June off to a healthy start, while a slowdown in virus infections and deaths globally continues to keep the mood positive. Europe pressed ahead with a further loosening of measures, with schools, pools, pubs and tourist sites reopening — despite fears of a second wave of infections — providing hope that shattered economies can begin to rebuild. Data showing improvements in factory activity in some countries, particularly badly hit Italy, also gave traders hope. “May’s data suggested the worst of the contraction may be behind us, but we see a bumpy restart in coming months,” BlackRock Investment Institute strategists said in a report. Tokyo rose 0.8 percent, while Hong Kong climbed 0.5 percent after a more than three percent surge Monday. Shanghai added 0.1 percent and Seoul was up 0.5 percent after data showed South Korea’s economy shrank less than first thought in the first quarter. Singapore rose more than one percent as the city began easing its own shutdown measures and Manila also climbed more than one percent.