Publications of Hubert Bray

Papers Published

  1. Bray, H; Roesch, H, Proof of a Null Geometry Penrose Conjecture, Notices of the American Mathematical Society., vol. 65 (February, 2018), American Mathematical Society
  2. Bray, HL; Jauregui, JL; Mars, M, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II, Annales Henri Poincaré, vol. 17 no. 6 (July 26, 2015), pp. 1457-1475, Springer Basel, ISSN 1424-0637
  3. Bray, HL; Jauregui, JL, On curves with nonnegative torsion, Archiv der Mathematik, vol. 104 no. 6 (2015), pp. 561-575, ISSN 0003-889X
  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, 2014), pp. 285-307, ISSN 0010-3616
  5. Bray, HL; Parry, AR, Modeling wave dark matter in dwarf spheroidal galaxies, Journal of Physics, vol. 615 (2015), ISSN 1742-6588
  6. 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
  7. Bray, HL; Jauregui, JL, A geometric theory of zero area singularities in general relativity, Asian Journal of Mathematics, vol. 17 no. 3 (September, 2013), pp. 525-560, ISSN 1093-6106
  8. 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
  9. Bray, HL; Khuri, MA, P. D. E. 'S which imply the penrose conjecture, Asian Journal of Mathematics, vol. 15 no. 4 (December, 2011), pp. 557-610, International Press, ISSN 1093-6106
  10. Bray, H; Brendle, S; Neves, A, Rigidity of area-minimizing two-spheres in three-manifolds, Communications in Analysis and Geometry, vol. 18 no. 4 (2010), pp. 821-830, ISSN 1019-8385
  11. Bray, H; Brendle, S; Eichmair, M; Neves, A, Area-Minimizing Projective Planes in 3-Manifolds, Communications on Pure & Applied Mathematics, vol. 63 no. 9 (2010), pp. 1237-1247, ISSN 0010-3640
  12. 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, ISSN 1078-0947
  13. Bray, HL; Lee, DA, On the Riemannian Penrose inequality in dimensions less than eight, Duke Mathematical Journal, vol. 148 no. 1 (2009), pp. 81-106, ISSN 0012-7094
  14. 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, ISSN 0020-9910
  15. 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, ISSN 0010-3616
  16. Bray, HL, A family of quasi-local mass functionals with monotone flows, edited by JC Zambrini (January, 2006), pp. 323-329, ISBN 9789812704016
  17. H.L. Bray, The Positve Energy Theorem and Other Inequalities in GR, in The Encyclopedia of Mathematical Physics (2005)
  18. Bray, H, The Positve Energy Theorem and Other Inequalities, in The Encyclopedia of Mathematical Physics (2005)
  19. 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
  20. 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
  21. 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)
  22. 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
  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 (2002), pp. 1467-1472
  24. Bray, H; Finster, F, Curvature estimates and the Positive Mass Theorem, Communications in Analysis and Geometry, vol. 10 no. 2 (2002), pp. 291-306
  25. 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
  26. 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
  27. Bray, HL, Proof of the Riemannian Penrose inequality using the positive mass theorem, Journal of Differential Geometry, vol. 59 no. 2 (2001), pp. 177-267
  28. Bray, H; Schoen, RM, Recent Proofs of the Riemannian Penrose Conjecture, in Current Developments in Mathematics (1999), pp. 1-36, International Press
  29. Bray, H; McCormick, K; Jr, ROW; Zhou, X-D, Wavelet variations on the Shannon sampling theorem, BioSystems, vol. 34 no. 1-3 (1995), pp. 249-257, Elsevier Science Ireland, ISSN 0303-2647

Papers Accepted

  1. Martinez-Medina, LA; Bray, HL; Matos, T, On wave dark matter in spiral and barred galaxies, Journal of Cosmology and Astroparticle Physics, vol. 2015 no. 12 (December, 2015), pp. 025-025

Preprints

  1. Bray, H; Goetz, AS, Wave Dark Matter and the Tully-Fisher Relation (September, 2014)
  2. Bray, H, On Wave Dark Matter, Shells in Elliptical Galaxies, and the Axioms of General Relativity (December 22, 2012)

Other

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