Muhammad Abdullah

collaborators

2 papers

math.DG2026

On Embedding Hamming Spheres with Applications to Positive Curvature

Muhammad Abdullah

We consider isometric $Z_{p}$ -torus actions on closed, positively curved manifolds, obtaining a homotopy classification result. This allows us to strengthen on the improve…

math.DG2025

$Z_{p}$ -torus actions on positively curved manifolds

Muhammad Abdullah, Catherine Searle

In this article, we study closed, positively curved $n$ -manifolds that admit an effective, isometric $Z_{p}^{r}$ -action with a fixed point, where $p$ is an odd prime. For all…

On Embedding Hamming Spheres with Applications to Positive Curvature

Zp​-torus actions on positively curved manifolds

$Z_{p}$ -torus actions on positively curved manifolds