Deformation theory of Cayley submanifolds

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.

Name dc:type.qualificationname

Doctor of Philosophy (PhD)

Level dc:type.qualificationlevel

Doctoral

Grantor dc:publisher.institution

University of Cambridge

Year dc:date.issued

2017

Author dc:creator

• Moore, Kimberley

Advisors dc:contributor.advisor

• Lotay, Jason
• Kovalev, Alexei

• calibrated geometry
• special holonomy
• deformations

Licence

• https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/e18292b9-b9d2-4bf6-9164-3b253190a3a2/download
• https://www.rioxx.net/licenses/all-rights-reserved/

Language dc:language

en

DOI dc:identifier.doi

https://doi.org/10.17863/CAM.10560

OAI identifier oai:identifier

oai:www.repository.cam.ac.uk:1810/264801