On the blow-up of four-dimensional Ricci flow singularities

In 2002, Feldman, Ilmanen, and Knopf constructed the first example of a non-trivial (i.e. non-constant curvature) complete non-compact shrinking soliton, and conjectured that it models a Ricci flow singularity forming on a closed four-manifold. In this thesis, we confirm their conjecture and, as a c...

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Bibliographic Details
Main Author: Máximo Alexandrino Nogueira, Davi
Format: Others
Language:en_US
Published: 2013
Subjects:
Online Access:http://hdl.handle.net/2152/21677