Work

Positive curvature and discrete abelian symmetry

Year: 2026

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.

Source: Mathematische Annalen

DOI: 10.1007/s00208-026-03509-2

Authors: Lee Kennard, Elahe Khalili Samani, Catherine Searle

Institutions: Syracuse University, Clark University, Wichita State University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: National Science Foundation, Simons Foundation, Syracuse University, Science Foundation Ireland, Division of Mathematical Sciences

Awards: Curvature and Symmetry, G202495085, Positive curvature and torus symmetry, Curvature, Symmetry, and Topology, G5909200308, G5969482202, G6355831754, G6966343645, Curvature and Symmetry, Mathematical Sciences Research Institute (MSRI), G8404754153, Connected Isotropy Groups in the Grove Symmetry Program

OpenAlex ID: W3209092725

FWCI:

Cites: 35

Cited by:

Related to: 20