51 citations · 88 across the 5 of their papers we have counts for
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math.DG2010★ 21 cited
Recent progress on the Yamabe problem
S. Brendle, F. C. Marques
We give a survey of various compactness and non-compactness results for the Yamabe equation. We also discuss a conjecture of Hamilton concerning the asymptotic behavior of the para…
math.DG2010★ 13 cited
Scalar curvature rigidity of geodesic balls in S^n
S. Brendle, F. C. Marques
In this paper, we prove a scalar curvature rigidity result for geodesic balls in S^n. This result contrasts sharply with the recent counterexamples to Min-Oo's conjecture for the h…
math.DG2010★ 51 cited
Deformations of the hemisphere that increase scalar curvature
S. Brendle, F. C. Marques, A. Neves
Consider a compact Riemannian manifold M of dimension n whose boundary \partial M is totally geodesic and is isometric to the standard sphere S^{n-1}. A natural conjecture of Min-O…