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Thesis

Complex and Riemannian geometry: quaternionic manifolds

Abstract:

The starting point of the thesis is the definition of an almost quaternionic manifold as a real 4n---manifold admitting a GL(n,H) Sp(1)-structure. It is showh that there exist two obstructions C0,C1, to the integrability of such a structure, and the condition C0 = 0 is used to define a cuaternionic manifold. It is proved that a_ quaternionic manifold M has a natually associated complex (2n+1)-manifold Z fibring over M with fibre CP1, and th...

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Division:
MPLS
Department:
Mathematical Institute
Role:
Author

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Role:
Supervisor
ORCID:
0000-0002-4484-7604
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Deposit date:
2023-04-19

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