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Wichita State University

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.

Author and committee

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Author
  • Burkemper, Matthew Bryan

Identifiers

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Identifier
hdl:10057/21735
OAI identifier oai:identifier
oai:soar.wichita.edu:10057/21735

Chain of custody

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Wichita State University
Base URL
soar.wichita.edu/oai/request
Last updated
2026-07-24
Source record
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citation

Burkemper, Matthew Bryan. Positive (p, n)-intermediate scalar curvature and Gromov-Lawson cobordism. 2021.