3 papers
math.CA2021
An inequality on the mass of image of rectifiable chain under chain map
Chunyan Liu
For a complete normed abelian group , we show that the mass of image of a rectifiable -chain under chain map induced by Lipschitz map is controlled by th…
math.CA2020
The weak convergence of varifolds generated by rectifiable flat G-chains
Chunyan Liu, Yangqin Fang, Ning Zhang
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 r…
math.CA2019
On the equality between the infimum obtained by solving various Plateau's problem
Yangqin Fang, Vincent Feuvrier, Chunyan Liu
In this paper we will compare the Plateau's problem with Čech and singular homological boundary conditions, we also compare these with the size minimizing problem for integral curr…