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Title: Deformation theory of Cayley submanifolds
Author: Moore, Kimberley
Awarding Body: University of Cambridge
Current Institution: University of Cambridge
Date of Award: 2017
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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.
Supervisor: Not available Sponsor: EPSRC
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
Keywords: calibrated geometry ; special holonomy ; deformations