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Thesis

Topics in Ricci flow with symmetry

Abstract:

In this thesis, we study the Ricci flow and Ricci soliton equations on Riemannian manifolds which admit a certain degree of symmetry. More precisely, we investigate the Ricci soliton equation on connected Riemannian manifolds, which carry a cohomogeneity one action by a compact Lie group of isometries, and the Ricci flow equation for invariant metrics on a certain class of compact and connected homogeneous spaces.

In the first case, we prove that the initial value problem for a coho...

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Institution:
University of Oxford
Oxford college:
Wolfson College
Department:
Mathematical,Physical & Life Sciences Division
Role:
Author

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Role:
Supervisor
Publication date:
2013
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
URN:
uuid:36df458b-b7cc-4447-a979-6adb24ff7959
Local pid:
ora:6715

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