Positive curvature and discrete abelian symmetry

2021/10/26 by Kennard, Lee, Samani, Elahe Khalili, Searle, Catherine
#20K01 #53C21 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2110.13345

Abstract

By replacing the torus with an elementary abelian two-group, we generalize the maximal symmetry result of Grove and Searle and the half-maximal symmetry result of Wilking for positively curved manifolds with an isometric torus action.

Related

• Topological properties of positively curved manifolds with symmetry
• Fundamental groups of manifolds with positive sectional curvature and\n torus symmetry
• Positive curvature and torus symmetry in small dimensions, I -- Dimensions 10, 12, 14, and 16
• A note on maximal symmetry rank, quasipositive curvature, and low dimensional manifolds
• Positively curved manifolds with maximal discrete symmetry rank