English

Leaf superposition property for integer rectifiable currents

Analysis of PDEs 2008-12-16 v1 Differential Geometry

Abstract

We consider the class of integer rectifiable currents without boundary satisfying a positivity condition. We establish that these currents can be written as a linear superposition of graphs of finitely many functions with bounded variation.

Keywords

Cite

@article{arxiv.0812.2677,
  title  = {Leaf superposition property for integer rectifiable currents},
  author = {Luigi Ambrosio and Gianluca Crippa and Philippe G. LeFloch},
  journal= {arXiv preprint arXiv:0812.2677},
  year   = {2008}
}

Comments

13 pages

R2 v1 2026-06-21T11:51:56.055Z