Sections of polar actions
Differential Geometry
2022-04-12 v2
Abstract
In this short note we provide an elementary proof of the folklore result in the theory of isometric Lie group actions on Riemannian manifolds asserting that sections of polar actions are totally geodesic.
Keywords
Cite
@article{arxiv.2111.05280,
title = {Sections of polar actions},
author = {Juan Manuel Lorenzo-Naveiro and Ivan Solonenko},
journal= {arXiv preprint arXiv:2111.05280},
year = {2022}
}
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5 pages