Wash the lime, grate dry, finely grate the peel. Halve lime and squeeze juice. Peel carrots, grate finely and mix with 3 tbsp lime juice. Peel ginger and grate finely. Mix ginger with almonds, flour and baking powder in a bowl. Separate eggs, beat egg white in 2 portions with the whisk of the hand mixer until stiff. Add sugar and vanillin sugar. Stir the egg yolks carefully into the beaten egg white
Carrots and almond mixture, on the egg mass give and evenly fold in. Pour the dough onto a greased, floured fat pan of the oven (32 x 39 cm) and smooth it down. Bake in the preheated oven (electric cooker: 175 °C/ convection oven: 150 °C/ gas: see manufacturer) for approx. 30 minutes. Take out and let cool down
Halve the vanilla pod lengthwise and scrape out the pulp. Whip butter and icing sugar white until creamy, stir in vanilla pulp. Finally, briefly stir in cream cheese. Spread the cake loosely and sprinkle with lime zest
waiting time approx. 2 hours