<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-09-22T03:10:54Z</responseDate><request verb="GetRecord" identifier="oai:www.repository.cam.ac.uk:1810/264801" metadataPrefix="uketd_dc">https://api.repository.cam.ac.uk/server/oai/request</request><GetRecord><record><header><identifier>oai:www.repository.cam.ac.uk:1810/264801</identifier><datestamp>2024-06-26T13:53:47Z</datestamp><setSpec>com_1810_246436</setSpec><setSpec>com_1810_256064</setSpec><setSpec>col_1810_246437</setSpec></header><metadata><uketd_dc:uketddc xmlns:uketd_dc="http://naca.central.cranfield.ac.uk/ethos-oai/2.0/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:uketdterms="http://naca.central.cranfield.ac.uk/ethos-oai/terms/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://naca.central.cranfield.ac.uk/ethos-oai/2.0/ http://naca.central.cranfield.ac.uk/ethos-oai/2.0/uketd_dc.xsd">
   <dc:title>Deformation theory of Cayley submanifolds</dc:title>
   <dc:identifier xsi:type="dcterms:DOI">10.17863/CAM.10560</dc:identifier>
   <dc:creator>Moore, Kimberley</dc:creator>
   <uketdterms:advisor>Lotay, Jason</uketdterms:advisor>
   <uketdterms:advisor>Kovalev, Alexei</uketdterms:advisor>
   <dcterms:abstract>Cayley submanifolds are naturally arising volume minimising submanifolds of $Spin(7)$- manifolds. In the special case that the ambient manifold is a four-dimensional Calabi--Yau manifold, a Cayley submanifold might be a complex surface, a special Lagrangian submanifold or neither. In this thesis, we study the deformation theory of Cayley submanifolds from two different perspectives.</dcterms:abstract>
   <uketdterms:institution>University of Cambridge</uketdterms:institution>
   <dcterms:issued>2017-05-04</dcterms:issued>
   <dc:type>Thesis</dc:type>
   <uketdterms:qualificationlevel>Doctoral</uketdterms:qualificationlevel>
   <uketdterms:qualificationname>Doctor of Philosophy (PhD)</uketdterms:qualificationname>
   <dc:language>en</dc:language>
   <uketdterms:sponsor>EPSRC</uketdterms:sponsor>
   <dcterms:isReferencedBy xsi:type="dcterms:URI">https://www.repository.cam.ac.uk/handle/1810/264801</dcterms:isReferencedBy>
   <dc:identifier xsi:type="dcterms:URI">https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/fc3cdc35-f5e9-4ff6-a827-7bc4fb03405b/download</dc:identifier>
   <uketdterms:checksum xsi:type="uketdterms:MD5">6d3f4d31ae8435d2e5f925401025ec65</uketdterms:checksum>
   <dcterms:license>https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/e18292b9-b9d2-4bf6-9164-3b253190a3a2/download</dcterms:license>
   <uketdterms:checksum xsi:type="uketdterms:MD5">87eda9de84448d1f82354d60eee3eb5f</uketdterms:checksum>
   <dc:rights>https://www.rioxx.net/licenses/all-rights-reserved/</dc:rights>
   <dc:subject>calibrated geometry</dc:subject>
   <dc:subject>special holonomy</dc:subject>
   <dc:subject>deformations</dc:subject>
</uketd_dc:uketddc>
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