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    Positive (p, n)-intermediate scalar curvature and Gromov-Lawson cobordism

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    dissertation (592.9Kb)
    Date
    2021-08
    Author
    Burkemper, Matthew Bryan
    Advisor
    Searle, Catherine
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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.
    Description
    Thesis (Ph.D.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics, and Physics
    URI
    https://soar.wichita.edu/handle/10057/21735
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