Thesis

### Ricci solitons and geometric analysis

Abstract:

This thesis studies Ricci solitons of cohomogeneity one and uniform Poincaré inequalities for differentials on Riemann surfaces.

In the two summands case, which assumes that the isotropy representation of the principal orbit consists of two inequivalent Ad-invariant irreducible summands, complete steady and expanding Ricci solitons have been detected numerically by Buzano-Dancer-Gallaugher-Wang. This work provides a rigorous construction thereof.

A Lyapunov function is intro...

Files:
• (pdf, 3.2MB)

### Authors

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Division:
MPLS
Department:
Mathematical Institute
Role:
Author

#### Contributors

Department:
Oxford University
Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
Deposit date:
2018-06-27

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