Whip the whipping cream, confectioners' sugar and vanilla to soft peaks; set aside in the refrigerator.
In the bowl of a stand mixer, with the whisk attachment in place, add the egg yolks and sugar.
Whisk at high speed until light, foamy and pale yellow in color; about 5 minutes.
Slowly whisk in the sweetened condensed milk, lime juice and zest.
Gently fold in the previously whipped cream.
Pour into the prepared pie crust.
Cover and place in the refrigerator for at least 24 hours.
When ready to serve, remove from the refrigerator, garnish with vanilla whipped cream and lime slices before serving.