English

Cheeger Deformations for Lie groupoid actions

Differential Geometry 2025-02-04 v1

Abstract

We give an extension of Cheeger's deformation techniques for smooth Lie group actions on manifolds to the setting of singular Riemannian foliations induced by Lie groupoids actions. We give an explicit description of the sectional curvature of our generalized Cheeger deformation.

Keywords

Cite

@article{arxiv.2502.01460,
  title  = {Cheeger Deformations for Lie groupoid actions},
  author = {Diego Corro},
  journal= {arXiv preprint arXiv:2502.01460},
  year   = {2025}
}

Comments

25 pages

R2 v1 2026-06-28T21:30:45.602Z