{"id":{"repo_id":"wichita-thes","oai_identifier":"oai:soar.wichita.edu:10057/21735"},"canonical_url":"https://search.dev.ndltd.org/etd/wichita-thes/oai:soar.wichita.edu:10057/21735","repository":{"repo_id":"wichita-thes","name":"Wichita State University","base_url":"https://soar.wichita.edu/oai/request"},"display":{"title":"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.","abstract_html":"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.","abstract_has_math":true,"creators":["Burkemper, Matthew Bryan"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2021,"date_issued":"2021-08","date_published":"2021-08","updated_at":"2026-07-24T06:06:23Z","subjects":[],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["hdl:10057/21735"],"render_values":[{"text":"hdl:10057/21735","href":null,"code":true}]}]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2021-08"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["hdl:10057/21735"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.other","label":"Dc Description Other","values":["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."]},{"key":"dc:title","label":"Title","values":["Positive (p, n)-intermediate scalar curvature and Gromov-Lawson cobordism"]}]}],"canonical_facts":{"dc:date.issued":["2021-08"],"dc:description.other":["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."],"dc:identifier":["hdl:10057/21735"],"dc:title":["Positive (p, n)-intermediate scalar curvature and Gromov-Lawson cobordism"],"dc:type":["Dissertation"]},"updated_at":"2026-07-24T06:06:23Z"}