NOVELTY - The material comprises hetero-metal that is heat-treated on a surface of a transition metal precursor after performing coating with a lithium source. The hetero-metal is substituted among nickel, cobalt, and manganese and selected from a group of titanium, aluminum, magnesium, iron, copper, silver, gold, potassium, sodium, indium, gallium, germanium, vanadium, molybdenum, niobium, silicon and zirconium. The transition metal precursor is made of co-precipitation of nickel-based transition metal hydroxide and nickel-based transition metal carbon oxides.    USE - Cathode active material for a lithium secondary battery (claimed) of an electric vehicle.    ADVANTAGE - The small amount of the hetero-metal is replaced in the material so as to improve structural stability more than 60 % and enhance battery characteristic. The heat-metal (M) is heat-treated on the surface of the transition metal precursor after doing the coating with the lithium source so as to improve battery characteristic at the high temperature environment, improve thermal stability, perform DSC evaluation about the cathode active material, show heat-generating temperature peak up on 275 degree Celsius, improve intensity of the particle. The transition metal precursor is heat-treated with hetero-metal compound so as to easily substitute manufacturing process of the cathode active material, disperse the hetero-metal for uniform coating of the hetero-metal and enhance uniformity through the process of drying.    DETAILED DESCRIPTION - INDEPENDENT CLAIMS are also included for the following:    (1) a lithium secondary battery    (2) a method for manufacturing cathode active material for a lithium secondary battery.    DESCRIPTION OF DRAWING(S) - The drawing shows a flow diagram illustrating a method for manufacturing cathode active material for a lithium secondary battery. '(Drawing includes non-English language text)'    Step for adding nickel of transition metal precursor in hetero-metal compound coating solution (S100)    Step for coating titanium compound on surface of transition metal precursor (S200)    Step for heat treating hetero-metal compound with lithium source (S300)    Step for adding lithium source in transition metal precursor (S310)    Step for heat treating titanium compound at 850 degree Celsius for 10 hours (S320)