Cheeger Deformations for Lie groupoid actions

Fuente: arXiv
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Auteur principal: Corro, Diego
Format: Preprint
Publié: 2025
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_version_ 1866910810991755264
author Corro, Diego
author_facet Corro, Diego
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_01460
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Cheeger Deformations for Lie groupoid actions
Corro, Diego
Differential Geometry
53C12, 53C20, 53C21, 53C23, 58H05, 58H15, 22A22, 57R30, 32G99
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.
title Cheeger Deformations for Lie groupoid actions
topic Differential Geometry
53C12, 53C20, 53C21, 53C23, 58H05, 58H15, 22A22, 57R30, 32G99
url https://arxiv.org/abs/2502.01460