Preheat oven to 350°.
Coat bottom of a 9-inch round cake pan with 1 tablespoon melted butter. Sprinkle with brown sugar and ginger. Arrange mango slices spokelike over the brown sugar mixture; set aside.
Beat granulated sugar and 5 tablespoons butter at medium speed of a mixer until well-blended. Add egg substitute and vanilla, beating until well-blended. Lightly spoon flour into measuring cups; level with a knife. Combine flour, baking powder, cinnamon, and salt. Add flour mixture to sugar mixture alternately with milk, beginning and ending with flour mixture; mix after each addition. Pour batter into prepared pan.
Bake at 350° for 40 minutes. Cool in pan 5 minutes on a wire rack. Loosen cake from sides of pan. Place a plate upside down on top of cake. Invert onto plate. Garnish with whipped topping, if desired.