Work

Z2-torus actions on positively curved manifolds

Year: 2026

Type: article

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.

Source: Differential Geometry and its Applications

DOI: 10.1016/j.difgeo.2026.102332

Author: Farida Ghazawneh

Institution: 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: $2,740

Funder: Division of Mathematical Sciences