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Abstracts Category : Other
Deformation theory of Cayley submanifolds
by Kimberley Moore
| Institution: | University of Cambridge |
|---|---|
| Year: | 2017 |
| Keywords: | calibrated geometry; special holonomy; deformations |
| Posted: | 02/01/2018 |
| Record ID: | 2150859 |
| Full text PDF: | https://www.repository.cam.ac.uk/handle/1810/264801 |
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.
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