Positive curvature and discrete abelian symmetry

Authors

• Lee Kennard, Syracuse University
• Elahe Khalili Samani, Clark University
• Catherine Searle, Wichita State University

Document Type

Article

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. © The Author(s) 2026.

Publication Title

Mathematische Annalen

Publication Date

8-2026

Volume

395

Issue

4

ISSN

0025-5831

DOI

10.1007/s00208-026-03509-2

Repository Citation

Kennard, Lee; Khalili Samani, Elahe; and Searle, Catherine, "Positive curvature and discrete abelian symmetry" (2026). Mathematics. 56.
https://commons.clarku.edu/mathematics/56

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Copyright Conditions

Kennard, L., Khalili Samani, E., & Searle, C. (2026). Positive curvature and discrete abelian symmetry. Mathematische Annalen, 395(4), 108.