92 citations · 590 across the 51 of their papers we have counts for
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A sharp bound for the area of minimal surfaces in the unit ball
S. Brendle
Let Σbe a k-dimensional minimal surface in the unit ball B^n which meets the unit sphere orthogonally. We show that the area of Σis bounded from below by the volume of the unit bal…
Constant mean curvature surfaces in warped product manifolds
S. Brendle
We consider surfaces with constant mean curvature in certain warped product manifolds. We show that any such surface is umbilic, provided that the warping factor satisfies certain…
Ricci flat Kahler metrics with edge singularities
S. Brendle
We construct Ricci flat Kahler metrics with cone singularities along a complex hypersurface. This construction is inspired in part by R. Mazzeo's program in the case of negative Ei…
Evolution equations in Riemannian geometry
S. Brendle
A fundamental question in Riemannian geometry is to find canonical metrics on a given smooth manifold. In the 1980s, R. Hamilton proposed an approach to this question based on para…