English

A Lipschitz version of de Rham theorem for $L_p$-cohomology

Differential Geometry 2022-11-23 v1

Abstract

We focus our attention on the de Rham operators' underlying properties which are specified by intrinsic effects of differential geometry structures. And then we apply the procedure of regularization in the context of Lipschitz version of de Rham calculus on metric simplicial complexes with bounded geometry.

Keywords

Cite

@article{arxiv.2211.12396,
  title  = {A Lipschitz version of de Rham theorem for $L_p$-cohomology},
  author = {Vladimir Gol'dshtein and Roman Panenko},
  journal= {arXiv preprint arXiv:2211.12396},
  year   = {2022}
}

Comments

27 pages, 3 pictures