Place pork between 2 sheets of plastic wrap; pound to 1/4-inch thickness using a meat mallet or small heavy skillet. Cut pork into 1/4-inch strips. Place strips in a bowl; sprinkle with flour, tossing to coat.
Combine soy sauce and next 5 ingredients (through garlic), stirring with a whisk until cornstarch dissolves.
Heat a large nonstick skillet over medium-high heat. Add oil; swirl to coat. Add pork; stir-fry 3 minutes or until browned. Add soy sauce mixture to pan. Cook, stirring constantly, 1 minute or until sauce thickens. Add cabbage; cook 30 seconds. Add water and stir till cabbage is softened and sauce is once again thick.
Remove from heat. Stir in mango. Serve immediately.