Positive curvature and discrete abelian symmetry
Abstract By replacing the torus with an elementary abelian two-group, we generalize Grove and Searle’s maximal symmetry result and Wilking’s half-maximal symmetry result for positively curved manifolds with an isometric torus action.
Authors
- Elahe Khalili Samani
- Lee Kennard (ORCID: https://orcid.org/0000-0002-8632-0982)
- Catherine Searle (ORCID: https://orcid.org/0000-0003-0072-8088)
Institutions
- Clark University (US)
- Wichita State University (US)
- Syracuse University (US)
Publication Details
- Journal
- Mathematische Annalen
- Published
- 2026-07-16
- DOI
- https://doi.org/10.1007/s00208-026-03509-2
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Simons Foundation
- Syracuse University
- Science Foundation Ireland
- Division of Mathematical Sciences