Ricci solitons and geometric analysis
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...Expand abstract
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- Awarding institution:
- University of Oxford
- Copyright holder:
- Wink, M
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