arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2001.07911math.MG
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RCD(K,N)空间通过$δ$ -分裂映射的可求正性

Rectifiability of RCD(K,N) spaces via $δ$-splitting maps

Elia Bruè, Enrico Pasqualetto, Daniele Semola

摘要:

本文利用$δ$ -分裂映射给出了RCD(K,N)空间作为度量测度空间的可求正性和本质维数的下半连续性性的新证明.这些论点的灵感来自奇格-冷理论的里奇限制和依赖于二阶微分学开发的吉利和收敛性和稳定性的结果由安布罗休本田。

英文摘要:

In this note we give new proofs of rectifiability of RCD(K,N) spaces as metric measure spaces and lower semicontinuity of the essential dimension, via $δ$-splitting maps. The arguments are inspired by the Cheeger-Colding theory for Ricci limits and rely on the second order differential calculus developed by Gigli and on the convergence and stability results by Ambrosio-Honda.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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