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Almost non-negative curvature and torus symmetry in low dimensions
Bartel, Sammeul
Bartel, Sammeul
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t24002_Bartel.pdf
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2024-05
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The classification of almost non-negatively curved, simply connected, closed manifolds is an open and difficult problem. The Symmetry Program suggests a means to approach such a classification. In this thesis we consider almost non-negatively curved n-manifolds, 4 ≤ n ≤ 6, with torus symmetry. We obtain a classification up to equivariant diffeomorphism for 4 ≤ n ≤ 6 when the action is of maximal symmetry rank. We also obtain a partial classification of the almost maximal symmetry rank case for n = 5, noting that a complete classification for n = 4 was obtained by Harvey and Searle.
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Thesis (M.S.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics, and Physics
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Wichita State University
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© Copyright 2024 by Samuel Bartel
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