English

Equivariant Smoothing Processes on Currents and Spaces with Bounded Curvature

Differential Geometry 2026-02-06 v4

Abstract

We introduce actions of a compact Lie group in two regularization processes: in De Rham's approximation process of currents on a smooth manifold by smooth currents, and in a smoothing operator of Riemannian metrics of metric spaces with bounded curvature.

Cite

@article{arxiv.2407.14674,
  title  = {Equivariant Smoothing Processes on Currents and Spaces with Bounded Curvature},
  author = {Andrés Ahumada Gómez},
  journal= {arXiv preprint arXiv:2407.14674},
  year   = {2026}
}

Comments

12 pages

R2 v1 2026-06-28T17:47:57.498Z