北京师范大学学报（自然科学版）2026，Vol.62Issue(1)：1-7,7.DOI:10.12202/j.0476-0301.2025070
拼挤凸体的曲率测度分解
Decomposition of curvature measures of pinched convex bodies
摘要
Abstract
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.关键词
拼挤凸体/曲率测度/球面曲率测度/积分曲率/测度分解Key words
pinched convex bodies/curvature measures/spherical curvature measures/integral curvature/the decomposition of measures分类
数理科学引用本文复制引用
李霞,王旭东,朱保成..拼挤凸体的曲率测度分解[J].北京师范大学学报（自然科学版）,2026,62(1):1-7,7.基金项目
国家自然科学基金资助项目(12371060,12401125) （12371060,12401125）
陕西省数理基础科学研究资助项目(22JSZ012) （22JSZ012）
山西省基础研究计划资助项目(202403021221109,202403021211002,202303021221116) （202403021221109,202403021211002,202303021221116）
