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Math @ Duke
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Research Interests for Hubert L. Bray
Research Interests: Geometric Analysis, General Relativity, Astrophysics
- Representative Publications
- H.L. Bray, On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity
(Preprint, 2010) [html]
- H.L. Bray and M.A. Khuri, P.D.E.'s Which Imply the Penrose Conjecture,
Asian Journal of Mathematics
(Accepted, 2011) [arXiv:0905.2622v1] [author's comments]
- H.L. Bray and J.L. Jauregui, A Geometric Theory of Zero Area Singularities in General Relativity
(Submitted, 2009) [arXiv:0909.0522v1]
- H.L. Bray, D.A. Lee, On the Riemannian Penrose Inequality in Dimension Less Than Eight,
Duke Mathematical Journal, vol. 148 no. 1
(2009),
pp. 81-106 [arXiv:0705.1128v1]
- H.L. Bray, P. Miao, On the Capacity of Surfaces in Manifolds with Nonnegative Scalar Curvature,
Inventiones Mathematicae, vol. 172 no. 3
(June, 2008) [arXiv:0707.3337v1]
- H.L. Bray, A Family of Quasi-local Mass Functionals with Monotone Flows,
in Proceedings of the 14th International Congress on Mathematical Physics, Lisbon, Portugal, 2003, edited by Jean-Claude Zambrini
(2003)
- H.L. Bray and A. Neves, Classification of Prime 3-Manifolds with Yamabe Invariant Greater than RP^3,
Annals of Mathematics, vol. 159 no. 1
(2004),
pp. 407--424
- H. L. Bray and F. Finster, Curvature Estimates and the Positive Mass Theorem,
Communications in Analysis and Geometry, vol. 10 no. 2
(2002),
pp. 291--306 [arXiv:math/9906047v3]
- H. L. Bray, Proof of the Riemannian Penrose Inequality Using the Positive Mass Theorem,
Journal of Differential Geometry, vol. 59 no. 2
(2001),
pp. 177--267 [arXiv:math/9911173v1]
- H.L. Bray, The Penrose Inequality in General Relativity and Volume Comparison Theorems Involving Scalar Curvature
(1997) (thesis, Stanford University.) [arXiv:0902.3241v1]
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Mathematics Department
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