Decomposition of curvature measures ofpinched convex bodies

Curvature measures are important geometric measures in convex geometry analysis． Recently, decomposition formulas for curvature measures and spherical curvature measures have been established． In this paper the decomposition of curvature measures and spherical curvature measures are studied for a class of pinched convex bodies, with related results demonstrating some singularities of classical integral curvature under pinching conditions．