Browsing by Subject "Analysis of singularities"
Now showing 1 - 1 of 1
Results Per Page
Sort Options
Item On the blow-up of four-dimensional Ricci flow singularities(2013-05) Máximo Alexandrino Nogueira, Davi; Knopf, Dan, 1959-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 consequence, show that limits of blow-ups of Ricci flow singularities on closed four-dimensional manifolds do not necessarily have non-negative Ricci curvature.