92 citations · 590 across the 51 of their papers we have counts for
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A sharp bound for the inscribed radius under mean curvature flow
S. Brendle
We consider a family of embedded, mean convex hypersurfaces which evolve by the mean curvature flow. It follows from general results of White that the inscribed radius at each poin…
Mean curvature flow with surgery of mean convex surfaces in
S. Brendle, G. Huisken
We define a notion of mean curvature flow with surgery for two-dimensional surfaces in with positive mean curvature. Our construction relies on the earlier work of H…
Minimal surfaces in S^3: a survey of recent results
S. Brendle
In this survey, we discuss various aspects of the minimal surface equation in the three-sphere S^3. After recalling the basic definitions, we describe a family of immersed minimal…
A volume comparison theorem for asymptotically hyperbolic manifolds
S. Brendle, O. Chodosh
We define a notion of renormalized volume of an asymptotically hyperbolic manifold. Moreover, we prove a sharp volume comparison theorem for metrics with scalar curvature at least…
Large outlying stable constant mean curvature spheres in initial data sets
Simon Brendle, Michael Eichmair
We give examples of asymptotically flat three-manifolds which admit arbitrarily large constant mean curvature spheres that are far away from the center of the manifold. Thi…