Publications of Hubert Bray    :recent first  alphabetical  combined  bibtex listing:

Papers Published

1. 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]
2. Bray, H; Schoen, RM, Recent Proofs of the Riemannian Penrose Conjecture, in Current Developments in Mathematics (1999), pp. 1-36, International Press
3. 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]
4. 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]
5. 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]
6. 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]
7. 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]
8. 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]
9. 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]
10. 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]
11. 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]
12. Bray, H, Geometric Flows and the Penrose Inequality, in Encyclopedia of Mathematical Physics: Five-Volume Set (January, 2004), pp. 510-520, ISBN 9780125126663 [doi]  [abs]
13. Bray, H, The Positve Energy Theorem and Other Inequalities, in The Encyclopedia of Mathematical Physics (2005)
14. H.L. Bray, The Positve Energy Theorem and Other Inequalities in GR, in The Encyclopedia of Mathematical Physics (2005)
15. Bray, H, A Family of Quasi-local Mass Functionals with Monotone Flows, edited by Zambrini, JC, Proceedings of the 14th International Congress on Mathematical Physics (January, 2006), pp. 323-329, World Scientific, ISBN 981256201X [doi]  [abs]
16. Bray, H, Geometric Flows and the Penrose Inequality, in Encyclopedia of Mathematical Physics: Five-Volume Set (January, 2006), pp. V2-510-V2-520, ISBN 9780125126601 [doi]
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, 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]
19. 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]
20. 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]
21. 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]
22. 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]
23. 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]
24. 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]
25. Bray, HL; Khuri, MA, P.D.E.'s Which Imply the Penrose Conjecture, Asian Journal of Mathematics, vol. 15 no. 4 (December, 2011), pp. 54, International Press
26. Bray, H, On Wave Dark Matter, Shells in Elliptical Galaxies, and the Axioms of General Relativity (December, 2012) [pdf]  [abs]
27. 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]
28. 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]
29. Bray, H; Goetz, AS, Wave Dark Matter and the Tully-Fisher Relation (September, 2014) [arXiv:1409.7347], [7347]  [abs]
30. 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]
31. 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]
32. 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]
33. 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]
34. 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]
35. Bray, H; Roesch, H, Proof of a Null Geometry Penrose Conjecture, Notices of the American Mathematical Society., vol. 65 (February, 2018), American Mathematical Society
36. Bray, HL; Minicozzi, WP, The mathematics of richard schoen, Notices of the American Mathematical Society, vol. 65 no. 12 (December, 2018), pp. 1349-1176, American Mathematical Society (AMS) [doi]
37. Bray, HL; Minicozzi, WP, Preface, Notices of the American Mathematical Society, vol. 65 no. 11 (December, 2018), pp. 1412-1413 [doi]
38. Bray, H; Hamm, B; Hirsch, S; Wheeler, J; Zhang, Y, Flatly foliated relativity, Pure and Applied Mathematics Quarterly, vol. 15 no. 2 (January, 2019), pp. 707-747, International Press of Boston [doi]  [abs]
39. Bray, H; Liu, Z; Zhang, Y; Gui, F, Proof of Bishop's volume comparison theorem using singular soap bubbles (March, 2019)
40. Bray, H; Stern, D, Scalar curvature and harmonic one-forms on three-manifolds with boundary (November, 2019)
41. Bray, H; Stern, D; Khuri, M; Kazaras, D, Harmonic Functions and The Mass of 3-Dimensional Asymptotically Flat Riemannian Manifolds (November, 2019)
42. Bray, H; Hirsch, S; Kazaras, D; Khuri, M; Zhang, Y, Spacetime Harmonic Functions and Applications to Mass, edited by Gromov, ML; Lawson, HB, Perspectives in Scalar Curvature (February, 2023), World Scientific  [abs]

Other

1. Bray, H, The Penrose Inequality in General Relativity and Volume Comparison Theorems Involving Scalar Curvature (1997) (thesis, Stanford University.) [arXiv:0902.3241v1]