拼挤凸体的曲率测度分解OA
Decomposition of curvature measures of pinched convex bodies
为研究凸体曲率测度的奇异性,引入一类凸体曲率的拼挤条件;建立了基于曲率测度分解理论的拼挤凸体曲率测度和球面曲率测度分解公式,并得到了曲率测度与球面曲率测度的奇异性结果,特别地,得到了经典积分曲率在拼挤条件下的奇异性结果.
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.
李霞;王旭东;朱保成
中北大学数学学院,山西太原陕西师范大学数学与统计学院,陕西西安陕西师范大学数学与统计学院,陕西西安
数理科学
拼挤凸体曲率测度球面曲率测度积分曲率测度分解
pinched convex bodiescurvature measuresspherical curvature measuresintegral curvaturethe decomposition of measures
《北京师范大学学报（自然科学版）》 2026 (1)
1-7,7
国家自然科学基金资助项目(12371060,12401125)陕西省数理基础科学研究资助项目(22JSZ012)山西省基础研究计划资助项目(202403021221109,202403021211002,202303021221116)
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