Striker Enes Unal got the hosts' winner in the ninth minute after he stole the ball from Madrid defender Eder Militao near the goal and beat Thibaut Courtois.
President of Getafe Angel Torres says he won't risk his players' health by travelling to an area struggling to contain coronavirus. Meanwhile, Arsenal places some players under isolation as Premier League postpones its game.
Unbeaten Real are a point ahead of promoted Granada and Atletico Madrid after Diego Simeone's side failed to break down their well-drilled local rivals.
The southern Madrid club defeated Athletic Bilbao 1-0 to strengthen its grip on fourth place with seven matches remaining.
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