Positive curvature and discrete abelian symmetry
Differential Geometry
2024-04-12 v2
Abstract
By replacing the torus with an elementary abelian two-group, we generalize the maximal symmetry result of Grove and Searle and the half-maximal symmetry result of Wilking for positively curved manifolds with an isometric torus action.
Cite
@article{arxiv.2110.13345,
title = {Positive curvature and discrete abelian symmetry},
author = {Lee Kennard and Elahe Khalili Samani and Catherine Searle},
journal= {arXiv preprint arXiv:2110.13345},
year = {2024}
}
Comments
Slight improvement of error correcting code estimates in section 1 and a minor modification made to the statement of the Codimension Three Lemma