- Tag results for English Premier League
Jesus hadn't scored a Premier League goal for four months before opening the scoring midway through the first-half and bulleted home a header to double City's lead early in the second-half.
N'Golo Kante and David Luiz were on target for Maurizio Sarri's men as City paid for failing to take advantage of their first-half dominance.
Jose Mourinho's team is now six points off the Champions League qualifying places and a massive 16 behind first-place Manchester City.
It was Brighton's first win in four league matches and lifted the south-coast team into 11th place.
Sean Dyche's Burnley, with just a single point from its last six games, finished seventh last season but the Clarets are a team devoid of confidence. Relegation looks a real possibility.
A week after getting sent off for diving, James Maddison showed another side of his game by scoring a brilliant goal to help Leicester beat Watford 2-0 in the English Premier League
The result piles the pressure on second-place Liverpool ahead of its Merseyside derby against Everton on Sunday.
Ilkay Gundogan put the result beyond doubt four minutes from time with a third goal that crowned a sublime 44-pass move.
Emery, then in charge at Sevilla, got the better of Klopp in the final in Basel, with his side coming from behind to win 3-1, and subsequently won the French league title with Paris Saint-Germain.
Unai Emery's side notched their 11th win in a row on Thursday as Danny Welbeck's late strike sealed a 1-0 success at Sporting Lisbon in the Europa League.
Romelu Lukaku was widely criticised after United were beaten 1-0 at home by Juventus in midweek, extending his goal drought to eight games.
The Wales international, who scored a stunning back-heel effort in Arsenal's 5-1 win at Fulham on Sunday, has scored 59 goals in 338 appearances for Arsenal since joining from Cardiff in 2008.
Manchester United assistant coach Michael Carrick hails Jose Mourinho as managerial 'great' alongside Sir Alex Ferguson
Carrick told Britain's Press Association that the most striking thing about the Portuguese boss was his track record in winning trophies over many years.
Barkley set up Eden Hazard's opening goal before adding his side's second in the 3-0 victory at Southampton on Sunday that briefly moved Chelsea to the top of the Premier League table.
Arsenal have now won six consecutive league matches within a single campaign for the first time since 2016.