Described is a monolithic support member comprising channels with walls separating the channels and having a coating deposited thereon, the non-coated channels having a polygonal cross-section profile, wherein the mean thickness dC of the coating in a corner of said cross-section profile is smaller than or equal to the mean thickness dE of the coating on an edge of said cross-section profile plus 85 micrometer. Also described is a method for the preparation of such coated monolithic support member. Further described is the use of such coated monolithic support member as a catalytic article in automotive exhaust gas treatment.