Publications 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)
  2. H.L. Bray, S. Hayward, M. Mars, W. Simon, Generalized Inverse Mean Curvature Flows in Spacetime, Communications in Mathematical Physics, vol. 272 no. 1 (May, 2007), pp. 119-138
  3. H.L. Bray, Positve Energy Theorem and Other Inequalities in GR, in The Encyclopedia of Mathematical Physics (2005)
  4. Bray, Hubert L. and Neves, Andr{\'e}, Classification of prime 3-manifolds with Yamabe invariant greater than {$\BbbRP\sp 3$}, Ann. of Math. (2), vol. 159 no. 1 (2004), pp. 407--424
  5. H.L. Bray, Generalization of the Hawking Mass, in Proceedings of the International Congress of Mathematical Physics, Lisbon, Portugal, 2003 (2003)
  6. Bray, Hubert L. and Iga, Kevin, Superharmonic functions in {$\bold R\sp n$} and the Penrose inequality in general relativity, Comm. Anal. Geom., vol. 10 no. 5 (2002), pp. 999--1016
  7. Bray, Hubert L., Black holes, geometric flows, and the Penrose inequality in general relativity, Notices Amer. Math. Soc., vol. 49 no. 11 (2002), pp. 1372--1381
  8. Bray, Hubert and Finster, Felix, Curvature estimates and the positive mass theorem, Comm. Anal. Geom., vol. 10 no. 2 (2002), pp. 291--306
  9. Bray, Hubert and Morgan, Frank, An isoperimetric comparison theorem for Schwarzschild space and other manifolds, Proc. Amer. Math. Soc., vol. 130 no. 5 (2002), pp. 1467--1472 (electronic)
  10. H.L. Bray, The Riemannian Penrose Inequality, in Proceedings of the International Congress of Mathematicians, Beijing, China, 2002 (2002)
  11. Bray, Hubert L., Proof of the Riemannian Penrose inequality using the positive mass theorem, J. Differential Geom., vol. 59 no. 2 (2001), pp. 177--267
  12. Bray, Hubert L. and Schoen, Richard M., Recent proofs of the Riemannian Penrose conjecture, in Current developments in mathematics, 1999 (Cambridge, MA) (1999), pp. 1--36, Int. Press, Somerville, MA

Papers Accepted

  1. H.L. Bray, D.A. Lee, On the Riemannian Penrose Inequality in Dimension Less Than Eight, Duke Math Journal (May, 2008)