Make a shortcrust pastry from flour, butter, water and a pinch of salt and let it rest in the refrigerator for at least 30 minutes.
Mix the egg yolks with the sugar and vanilla pulp. Add the crème fraîche and almonds. Beat the egg white with a pinch of salt until very stiff and fold into the almond mixture.
Line a greased tart pan with the shortcrust pastry. Peel and core the pears, cut into wedges and arrange them evenly on the dough. Cover with the almond mixture.
Bake the tart in a preheated oven at 200 degrees for 30 minutes.