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arXiv · 2212.09822

A general criterion for jump set slicing and applications

Stefano Almi·Emanuele Tasso
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Abstract

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.

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Stefano Almi, Emanuele Tasso. 2022-12-19. A general criterion for jump set slicing and applications. https://arxiv.org/abs/2212.09822

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