On Embedding Hamming Spheres with Applications to Positive Curvature

Muhammad Abdullah

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arXiv · 2609.00483

On Embedding Hamming Spheres with Applications to Positive Curvature

Muhammad Abdullah

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Abstract

We consider isometric $\mathbb{Z}_{p}$-torus actions on closed, positively curved manifolds, obtaining a homotopy classification result. This allows us to strengthen on the improvement of the $3n/8$ half-maximal symmetry rank result of Fang-Rong and Ghazawneh given in Theorem B and Corollary C in the work of the author and Searle. Along the way, we generalize a sphere-embedding construction of Wilking from the binary case to arbitrary primes in Theorem C, which is a geometric construction of independent interest.

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BibTeX RIS

Muhammad Abdullah. 2026-08-31. On Embedding Hamming Spheres with Applications to Positive Curvature. https://arxiv.org/abs/2609.00483

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