Z2-torus actions on positively curved manifolds
Abstract
Kennard, Khalili Samani, and Searle showed that for a Z_2-torus acting on a closed, positively curved Riemannian n-manifold, M^{n}, with a non-empty fixed point set for n large enough and r approximately half the dimension of M, then M^{n} is homotopy equivalent to S^{n}, RP^{n}, CP^{n/2} , or a lens space. In this paper, we lower r to approximately 2n/5 and show that we still obtain the same result.
Fields of Study & Subjects
Advanced Differential Geometry Research
Geometric and Algebraic Topology
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Differential Geometry and its Applications
- Volume
- 103
- Pages
- 102332–102332
- Publication date
- 14 January 2026
- Language
- EN