Positive (p, n)-intermediate scalar curvature and Gromov-Lawson cobordism
Burkemper, Matthew Bryan
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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.
Thesis (Ph.D.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics, and Physics