English

Lipschitz-volume rigidity of Lipschitz manifolds among integral currents

Differential Geometry 2024-04-25 v2 Metric Geometry

Abstract

We give sufficient conditions such that a volume preserving 1-Lipschitz map from a metric integral current onto an infinitesimally Euclidean Lipschitz manifold is an isometry.

Keywords

Cite

@article{arxiv.2302.07587,
  title  = {Lipschitz-volume rigidity of Lipschitz manifolds among integral currents},
  author = {Roger Züst},
  journal= {arXiv preprint arXiv:2302.07587},
  year   = {2024}
}