Preheat your oven to 325°F (163°C).
Pour melted butter into the bottom of a 9-inch springform pan. Sprinkle brown sugar evenly over the butter.
Arrange pineapple slices over the brown sugar. Place a cherry in the center of each pineapple slice.
In a large mixing bowl, beat the cream cheese until smooth. Add the granulated sugar and beat until well combined.
Add the eggs one at a time, beating well after each addition. Mix in the vanilla extract and sour cream until smooth.
Pour the cheesecake batter over the pineapple layer in the springform pan.
Bake in the preheated oven for about 60 minutes, or until the center is set and the top is lightly browned.
Allow the cheesecake to cool to room temperature, then refrigerate for at least 4 hours or overnight.
Run a knife around the edge of the pan to loosen the cheesecake, then invert onto a serving plate. Serve chilled.