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math.DG2011
The stability inequality for Ricci-flat cones
Stuart Hall, Robert Haslhofer, Michael Siepmann
In this article, we thoroughly investigate the stability inequality for Ricci-flat cones. Perhaps most importantly, we prove that the Ricci-flat cone over CP^2 is stable, showing t…
math.DG2011
Cohomogeneity one shrinking Ricci solitons: an analytic and numerical study
Andrew S Dancer, Stuart J Hall, Mckenzie Y Wang
We use analytical and numerical methods to investigate the equations for cohomogeneity one shrinking gradient Ricci solitons. We show the existence of a winding number for this sys…