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Wichita State University

Positive curvature and discrete Abelian group actions

Abstract

In this thesis, we consider results due to Fang and Rong, and to Kennard, Khalili Samani, and Searle. We generalize two results of Fang and Rong to odd-dimensional, non-simply connected manifolds, replacing their assumption on how large the prime $p$ is with the assumption that the $\mathbb{Z}$p-torus action has a fixed point. We also improve the lower bound on the rank of a \mathbb{Z}2-torus acting on a closed, positively curved Riemannian manifold Mn with a fixed point in a result of Kennard, Khalili Samani, and Searle from (n + 1)/2 to approximately 2n/5, obtaining the same conclusion.

Author and committee

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Author
  • Ghazawneh, Farida

Identifiers

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Identifier
hdl:10057/55544
OAI identifier oai:identifier
oai:soar.wichita.edu:10057/55544

Chain of custody

source
Harvested from
Wichita State University
Base URL
soar.wichita.edu/oai/request
Last updated
2026-07-24
Source record
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citation

Ghazawneh, Farida. Positive curvature and discrete Abelian group actions. 2025.