While the cheesecake is cooling, make your mango topping. Heat a medium-size saucepan on medium-low. Add the mango, sugar, water, and lime juice to the saucepan. Let cook for about 10 minutes until the mangos are soft.
Next, let the mango mixture cool for about 5 minutes. Puree the mango mixture with a blender until it is completely smooth. Taste the mixture and adjust for sweetness/tartness. You can also add additional water (or lime) if you want more of a saucey topping. Set aside and let cool.
Optional. Strain the mango mixture through a mesh sieve to remove any unblended fruit and fibers to obtain a smooth and thinner topping. Pro tip: I recommend using a larger sieve since this mixture is a bit thick.
Add your mango topping to the top of your cheesecake before transferring the cheesecake to the refrigerator. Then, transfer cheesecake to the refrigerator, uncovered, for at least for 4 hours or overnight.
Once the cheesecake has set and you are ready to serve, take the cheesecake out of the refrigerator and run a warm knife around the edges to loosen it. Cut and enjoy!