Publications [#152866] of Hubert L. Bray

Papers Published

1. H.L. Bray, Pengzi Miao, On the Capacity of Surfaces in Manifolds with Nonnegative Scalar Curvature, Inventiones Mathematicae, vol. 172 no. 3 (June, 2008) [math.DG/0707.3337], [3337]
   (last updated on 2008/12/14)

   Author's Comments:
   This paper gives upper estimates on the energy of harmonic functions on manifolds with nonnegative scalar curvature. Given a harmonic function which equals one on a surface and goes to zero at infinity, we found that the energy of this harmonic function is bounded above by a quantity depending on the Hawking mass of the surface and the area of the surface.