Quickly mix flour, butter in flakes, 1 pinch of salt, 35 g sugar and egg yolk, first with the dough hooks of the hand mixer, then with your hands to a smooth dough. Wrap in foil and chill for about 30 minutes. Roll out the dough into a circle (28 cm Ø) on a floured work surface. Line a greased, round, flour-dusted tart form with a lift-off base (24 cm Ø) with the dough, press down the edge. Prick the base several times with a fork. Line with baking paper and cover with dried peas
Bake blind in the preheated oven (electric cooker: 175 °C/ convection oven: 150 °C/ gas: level 2) for approx. 25 minutes. Remove the base from the oven and place on a cake rack. Remove baking parchment and peas. Let the cake cool down for about 30 minutes
Soak the gelatine. Wash the limes and grate them dry. Remove the zests from 1 lime with a zest ripper and rub off the other peel. Halve the lime and squeeze the juice. Mix yoghurt, lime juice, grated zest and 100 g sugar. Squeeze gelatine, dissolve and mix with 2 tablespoons of the yoghurt mixture. Stir into the remaining mass. Chill for approx. 15 minutes until the mixture begins to gel
Whip the cream until stiff and allow the vanilla sugar to trickle in. Fold into the yoghurt mixture, spread on the shortcrust pastry base and smooth it down. Chill for 1 hour. Cut the mango off the stone. Peel and slice the fruit flesh. Spread the mango slices fan-shaped on the tart and decorate with the lime zests. Sprinkle the edges of the cake with grated coconut.