Analysis of geometric flows, with applications to optimal homogeneous geometries

Analysis of geometric flows, with applications to optimal homogeneous geometries

This dissertation considers several problems related to Ricci flow, including the existence and behavior of solutions. The first goal is to obtain explicit, coordinate-based descriptions of Ricci flow solutions--especially those corresponding to Ricci solitons--on two classes of nilpotent Lie groups...

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Bibliographic Details
Main Author: Williams, Michael Bradford
Format: Others
Language:English
Published: 2011
Subjects:
Differential geometry
Geometric analysis
Ricci flow
Harmonic map flow
Ricci solitons
Lie groups
Evolution equations
Global differential geometry
Topological groups
Harmonic maps
Online Access:http://hdl.handle.net/2152/ETD-UT-2011-05-2820

Internet

http://hdl.handle.net/2152/ETD-UT-2011-05-2820

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