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Cohomogeneity one Ricci solitons

Abstract:

In this work we study the cohomogeneity one Ricci soliton equation viewed as a dynamical system. We are particularly interested in the relation between integrability of the associated system and the existence of explicit, closed form solutions of the soliton equation. The contents are organized as follows.

The first chapter is an introduction to Ricci ow and Ricci solitons and their basic properties. We reformulate the rotationally symmetric Ricci soliton equation on &Ro...

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Department:
University of Oxford
Role:
Author

Contributors

Department:
University of Oxford
Role:
Supervisor
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Name:
Consejo Nacional de Ciencias y Technologia
Grant:
Beca al extranjero
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
UUID:
uuid:8f924daf-d6e6-4150-96c2-d156a6a7815a
Deposit date:
2016-06-27

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