English

The weak convergence of varifolds generated by rectifiable flat G-chains

Classical Analysis and ODEs 2021-05-24 v3

Abstract

In the present paper, we prove that the convergence of rectifiable chains in flat norm implies the weak convergence of associated rectifiable varifolds if the limit flat chain is rectifiable and the mass converges also to the mass of limit chain.

Keywords

Cite

@article{arxiv.2008.13633,
  title  = {The weak convergence of varifolds generated by rectifiable flat G-chains},
  author = {Chunyan Liu and Yangqin Fang and Ning Zhang},
  journal= {arXiv preprint arXiv:2008.13633},
  year   = {2021}
}
R2 v1 2026-06-23T18:12:47.128Z