论文标题
跳跃集切片和应用程序的一般标准
A general criterion for jump set slicing and applications
论文作者
论文摘要
在本文中，提供了一个新的函数跳转集的新标准，该标准绕过了$ bd $ - 空间中开发的Codimension-One和平行四边形法技术。该方法建立在整体分析测量的最新可纠正性结果基础上，并进一步应用于在Riemannian设置中具有广义有界变形的跳跃功能的结构。
In this paper a novel criterion for the slicing of the jump set of a function is provided, which bypasses the codimension-one and the parallelogram law techniques developed in $BD$-spaces. The approach builds upon a recent rectifiability result of integralgeometric measures and is further applied to the study of the structure of the jump set of functions with generalized bounded deformation in a Riemannian setting.
