Positive curvature and rational ellipticity in cohomogeneity three
Differential Geometry
2025-05-29 v1
Abstract
We prove that a closed, simply connected, positively curved, cohomogeneity-three manifold whose quotient space has no boundary is rationally elliptic, thus providing a generalization of similar results regarding rational ellipticity of homogeneous, cohomogeneity-one, and almost non-negatively curved cohomogeneity-two manifolds.
Keywords
Cite
@article{arxiv.2505.22577,
title = {Positive curvature and rational ellipticity in cohomogeneity three},
author = {Elahe Khalili Samani and Marco Radeschi},
journal= {arXiv preprint arXiv:2505.22577},
year = {2025}
}