92 citations · 357 across the 42 of their papers we have counts for
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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
A mass-decreasing flow in dimension three
Robert Haslhofer
In this article, we introduce a mass-decreasing flow for asymptotically flat three-manifolds with nonnegative scalar curvature. This flow is defined by iterating a suitable Ricci f…
math.DG2011★ 11 cited
A renormalized Perelman-functional and a lower bound for the ADM-mass
Robert Haslhofer
In the first part of this short article, we define a renormalized F-functional for perturbations of non-compact steady Ricci solitons. This functional motivates a stability inequal…