TOKYO (Reuters) - Oil prices fell on Wednesday on concerns over how quickly fuel demand will recover even as lockdowns ease in many countries with falling coronavirus cases, with U.S.-China tensions adding to pressure.Brent crude futures fell 40 cents, or 0.7%, to $35.77 by 0009 GMT, after falling 1.8% on Tuesday. U.S. West Texas Intermediate (WTI) crude futures were down 49 cents, or 1.2%, at $33.95 a barrel, having risen 3.3% the previous session. The Organization of the Petroleum..