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Positive (p, n)-intermediate scalar curvature and Gromov-Lawson cobordism
Burkemper, Matthew Bryan
Burkemper, Matthew Bryan
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dissertation
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2021-08
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Dissertation
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Electronic dissertations
Electronic dissertations
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Abstract
In this thesis we consider a well known construction due to Gromov, Lawson, and Gajer
which allows for the extension of a metric of positive scalar curvature over the trace of a
surgery in codimension at least 3 to a metric of positive scalar curvature which is a product
near the boundary. We generalize this construction to work for (p; n)-intermediate scalar
curvature for $0 \leq p \leq n-2$ for surgeries in codimension at least p + 3.
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Thesis (Ph.D.)-- 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 2021 by Matthew Burkemper
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