Cut the mango flesh from the core, peel it and dice it roughly. Wash lime thoroughly and grate dry. Finely grate the lime peel and place in a bowl. Squeeze the lime.
Finely crush the cardamom grains in a mortar. Cut the vanilla pod lengthwise and scrape out the pulp. Mix mango pieces, lime juice, vanilla pulp and cardamom well in a bowl. For the crumbles, knead flour, grated coconut, sugar, butter and the grated lime zest into crumbles.
Grease a pie mould (approx. 24 cm Ø) well and put the mangos into the mould. Spread crumbles over it. Bake in the preheated oven (electric cooker: 200 °C/ convection oven: 175 °C/ gas: level 3) for about 30 minutes until crispy brown.
Decorate as you like with a slice of lime and fresh coconut curls. Sprinkle with cinnamon.