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Math @ Duke
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Papers Published
- 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] [author's comments]
- 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
- H.L. Bray, Positve Energy Theorem and Other Inequalities in GR,
in The Encyclopedia of Mathematical Physics
(2005)
- 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
- H.L. Bray, Generalization of the Hawking Mass,
in Proceedings of the International Congress of Mathematical Physics, Lisbon, Portugal, 2003
(2003)
- 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
- 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
- Bray, Hubert and Finster, Felix, Curvature estimates and the positive mass theorem,
Comm. Anal. Geom., vol. 10 no. 2
(2002),
pp. 291--306
- 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)
- H.L. Bray, The Riemannian Penrose Inequality,
in Proceedings of the International Congress of Mathematicians, Beijing, China, 2002
(2002)
- 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
- 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
- H.L. Bray, D.A. Lee, On the Riemannian Penrose Inequality in Dimension Less Than Eight,
Duke Math Journal
(May, 2008)
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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