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arXiv · 2112.04961

An inequality on the mass of image of rectifiable chain under chain map

Chunyan Liu
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Abstract

For a complete normed abelian group $G$, we show that the mass of image of a rectifiable $G$-chain $S$ under chain map $f_{\sharp}$ induced by Lipschitz map $f$ is controlled by the integral of Jacobi of $f$ restricted on the support of $S$ with respect to associated radon mesure $\mu_S$.

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Chunyan Liu. 2021-12-09. An inequality on the mass of image of rectifiable chain under chain map. https://arxiv.org/abs/2112.04961

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