Gather all of your ingredients on the counter so your cream cheese and eggs can warm up to room temperature.
Zest limes and set aside zest, then juice the limes. Peel the mango and cut the fruit from around the pit. Add mango and fresh lime juice to a blender or food processor and blend until smooth.
In the bowl of an electric mixer, blend cream cheese until smooth. Add sugar and continue to blend. Add eggs, one at a time (while blending). Add sour cream, vanilla, mango/lime puree and lime zest. Blend until all ingredients are smooth and well incorporated. Pour the cheesecake batter into the prepared crust.
Prepare the cheesecake pan to be baked in a water bath (as follows). To prepare water bath, wrap the cheesecake pan (bottom and sides) with foil, (you may need to criss cross two sheets of foil) so that no water can get into the pan. Place the foil wrapped cheesecake pan in a large roasting pan or baking dish, then pour HOT water into the roasting dish until the water is about 1" deep. Carefully move to oven and bake.
Bake cheesecake in pre-heated oven at 325*F (note this is reduced from the crust baking temperature) for 60-65 minutes, until the center barely jiggles when nudged. At this time, turn OFF the oven and open the oven door part way. Allow the cheesecake to slowly cool in the oven for 1 hour. Move cheesecake to the counter and cool an additional hour. At this time, move the cheesecake to the fridge (cover with foil) and chill for AT LEAST 6 hours, or overnight.