Mathematics
Rational ellipticity of G-manifolds from their quotients
Document Type
Article
Abstract
We prove that if a compact, simply connected Riemannian G-manifold M has orbit space M/G isometric to some other quotient N/H with N having zero topological entropy, then M is rationally elliptic. This result, which generalizes most conditions on rational ellipticity, is a particular case of a more general result involving manifold submetries. © The Author(s), 2025.
Publication Title
Compositio Mathematica
Publication Date
6-9-2025
Volume
161
Issue
2
First Page
244
Last Page
256
ISSN
0010-437X
DOI
10.1112/S0010437X24007656
Keywords
isometric group action, rationally elliptic, submetry, topological entropy
Repository Citation
Samani, Elahe Khalili, "Rational ellipticity of G-manifolds from their quotients" (2025). Mathematics. 49.
https://commons.clarku.edu/mathematics/49
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