Research Interests for Hubert Bray

Keywords:

Analysis, General relativity (Physics), Geometric analysis, Geometry, Mathematical physics, Theoretical astrophysics

Representative Publications

1. Martinez-Medina, LA; Bray, H; Mattos, T, On wave dark matter in spiral and barred galaxies, vol. 2015 no. 12 (December, 2015), pp. 025-025, IOP Publishing [arXiv:1505.07154], [1505.07154], [doi] [abs]
2. Bray, H; Goetz, AS, Wave Dark Matter and the Tully-Fisher Relation (September, 2014) [arXiv:1409.7347], [7347] [abs]
3. Bray, HL; Jauregui, JL; Mars, M, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II, Annales Henri Poincare, vol. 17 no. 6 (June, 2016), pp. 1457-1475, Springer Nature, ISSN 1424-0637 [arXiv:1402.3287 [math.DG]], [3287], [doi] [abs]
4. Bray, HL; Jauregui, JL, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass, Communications in Mathematical Physics, vol. 335 no. 1 (April, 2015), pp. 285-307, Springer Nature, ISSN 0010-3616 [arXiv:1310.8638 [math.DG]], [8638], [doi] [abs]
5. Bray, HL; Jauregui, JL, On curves with nonnegative torsion, Archiv der Mathematik, vol. 104 no. 6 (June, 2015), pp. 561-575, Springer Nature, ISSN 0003-889X [arXiv:1312.5171 [math.DG]], [c8d239381b86496b96d95ff26f1061eb], [doi] [abs]
6. Bray, HL; Parry, AR, Modeling wave dark matter in dwarf spheroidal galaxies, 9TH BIENNIAL CONFERENCE ON CLASSICAL AND QUANTUM RELATIVISTIC DYNAMICS OF PARTICLES AND FIELDS (IARD 2014), vol. 615 no. 1 (2015), pp. 012001-012001, IOP Publishing, ISSN 1742-6588 [Gateway.cgi], [doi] [abs]
7. Bray, H, On Wave Dark Matter, Shells in Elliptical Galaxies, and the Axioms of General Relativity (December, 2012) [pdf] [abs]
8. Bray, HL, On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity, AMS Contemporary Mathematics Volume, vol. 599 no. Geometric Analysis, Mathematical Relativ (2013), American Mathematical Society [arXiv:1004.4016], [html]
9. Bray, H, On the Positive Mass, Penrose, and ZAS Inequalities in General Dimension, in Surveys in Geometric Analysis and Relativity in Honor of Richard Schoen’s 60th Birthday, edited by Bray, H; Minicozzi, W (2011), Higher Education Press and International Press, Beijing and Boston [arXiv:1101.2230v1], [2230] [author's comments]
10. Bray, HL; Khuri, MA, P. D. E. 'S which imply the penrose conjecture, Asian Journal of Mathematics, vol. 15 no. 4 (January, 2011), pp. 557-610, International Press of Boston, ISSN 1093-6106 [pdf], [doi] [abs] [author's comments]
11. Bray, HL; Khuri, MA, A jang equation approach to the penrose inequality, Discrete and Continuous Dynamical Systems, vol. 27 no. 2 (June, 2010), pp. 741-766, American Institute of Mathematical Sciences (AIMS), ISSN 1078-0947 [arXiv:0910.4785v1], [doi] [abs]
12. Bray, H; Brendle, S; Eichmair, M; Neves, A, Area-Minimizing Projective Planes in 3-Manifolds, Communications on Pure and Applied Mathematics, vol. 63 no. 9 (September, 2010), pp. 1237-1247, WILEY, ISSN 0010-3640 [arXiv:0909.1665v1], [doi] [abs]
13. Bray, H; Brendle, S; Neves, A, Rigidity of area-minimizing two-spheres in three-manifolds, Communications in Analysis and Geometry, vol. 18 no. 4 (January, 2010), pp. 821-830, International Press of Boston, ISSN 1019-8385 [arXiv:1002.2814], [doi] [abs]
14. Bray, HL; Jauregui, JL, A geometric theory of zero area singularities in general relativity, Asian Journal of Mathematics, vol. 17 no. 3 (2013), pp. 525-560, International Press of Boston, ISSN 1093-6106 [arXiv:0909.0522v1], [doi] [abs]
15. Bray, HL; Lee, DA, On the Riemannian Penrose inequality in dimensions less than eight, Duke Mathematical Journal, vol. 148 no. 1 (May, 2009), pp. 81-106, Duke University Press, ISSN 0012-7094 [arXiv:0705.1128v1], [pdf], [doi] [abs]
16. Bray, H; Miao, P, On the capacity of surfaces in manifolds with nonnegative scalar curvature, Inventiones Mathematicae, vol. 172 no. 3 (June, 2008), pp. 459-475, Springer Nature, ISSN 0020-9910 [arXiv:0707.3337v1], [doi] [abs]
17. Bray, H; Hayward, S; Mars, M; Simon, W, Generalized inverse mean curvature flows in spacetime, Communications in Mathematical Physics, vol. 272 no. 1 (May, 2007), pp. 119-138, Springer Nature, ISSN 0010-3616 [arXiv:gr-qc/0603014v1], [doi] [abs]
18. Bray, HL; Neves, A, Classification of Prime 3-Manifolds with Yamabe Invariant Greater than RP^3, Annals of Mathematics, vol. 159 no. 1 (January, 2004), pp. 407-424, Annals of Mathematics, Princeton U [p09], [doi] [abs]
19. Bray, H, The Positve Energy Theorem and Other Inequalities, in The Encyclopedia of Mathematical Physics (2005)
20. 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) [Family%20of%20Quasi-local%20Mass%20Functionals%20with%20Monotone%20Flows&f=false]
21. Bray, H; Finster, F, Curvature estimates and the Positive Mass Theorem, Communications in Analysis and Geometry, vol. 10 no. 2 (January, 2002), pp. 291-306, International Press of Boston [arXiv:math/9906047v3], [doi] [abs]
22. Bray, HL; Iga, K, Superharmonic Functions in R^n and the Penrose Inequality in General Relativity, Communications in Analysis and Geometry, vol. 10 no. 5 (2002), pp. 999-1016, International Press of Boston [doi]
23. Bray, H; Morgan, F, An isoperimetric comparison theorem for schwarzschild space and other manifolds, Proceedings of the American Mathematical Society, vol. 130 no. 5 (January, 2002), pp. 1467-1472 [pdf], [doi] [abs]
24. Bray, HL, Proof of the riemannian penrose inequality using the positive mass theorem, Journal of Differential Geometry, vol. 59 no. 2 (January, 2001), pp. 177-267, International Press of Boston [arXiv:math/9911173v1], [pdf], [doi] [abs]
25. Bray, H; Schoen, RM, Recent Proofs of the Riemannian Penrose Conjecture, in Current Developments in Mathematics (1999), pp. 1-36, International Press
26. H.L. Bray, The Positve Energy Theorem and Other Inequalities in GR, in The Encyclopedia of Mathematical Physics (2005)
27. Bray, H; Chrusciel, PT, The Penrose Inequality, in The Einstein Equations and the Large Scale Behavior of Gravitational Fields (50 Years of the Cauchy Problem in General Relativity), edited by Chrusciel, PT; Friedrich, HF (2004), Birkhauser [arXiv:gr-qc/0312047v2]
28. Bray, HL, Black Holes, Geometric Flows, and the Penrose Inequality in General Relativity, Notices of the American Mathematical Society, vol. 49 no. 11 (2002), pp. 1372-1381 [pdf]
29. Bray, H, Black Holes and the Penrose Inequality in General Relativity, in Proceedings of the International Congress of Mathematicians, Beijing, China, 2002, Proceedings of the International Congress of Mathematicians, vol. 2 (2002), pp. 257-272 [arXiv:math/0304261v1], [0304261v1]
30. Bray, H; McCormick, K; Wells, RO; Zhou, XD, Wavelet variations on the Shannon sampling theorem., Bio Systems, vol. 34 no. 1-3 (January, 1995), pp. 249-257, Elsevier Science Ireland, ISSN 0303-2647 [science], [doi] [abs] [author's comments]
31. Bray, H, The Penrose Inequality in General Relativity and Volume Comparison Theorems Involving Scalar Curvature (1997) (thesis, Stanford University.) [arXiv:0902.3241v1]