92 citations · 590 across the 51 of their papers we have counts for
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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…
math.DG2010★ 18 cited
Rigidity of area-minimizing two-spheres in three-manifolds
H. Bray, S. Brendle, A. Neves
We give a sharp upper bound for the area of a minimal two-sphere in a three-manifold (M,g) with positive scalar curvature. If equality holds, we show that the universal cover of (M…