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