Publications of Hubert Bray

Papers Published

  1. 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
  2. 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)
  3. Bray, HL; Minicozzi, WP, Preface, Notices of the American Mathematical Society, vol. 65 no. 11 (December, 2018), pp. 1412-1413
  4. Bray, H; Roesch, H, Proof of a Null Geometry Penrose Conjecture, Notices of the American Mathematical Society., vol. 65 (February, 2018), American Mathematical Society
  5. 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 (June, 2016), pp. 1457-1475, Springer Nature, ISSN 1424-0637
  6. 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
  7. 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
  8. 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
  9. Bray, HL; Parry, AR, Modeling wave dark matter in dwarf spheroidal galaxies, Journal of Physics: Conference Series, vol. 615 (2015), pp. 012001-012001, IOP Publishing, ISSN 1742-6588
  10. Bray, H; Goetz, AS, Wave Dark Matter and the Tully-Fisher Relation (September, 2014)
  11. 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
  12. 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
  13. Bray, H, On Wave Dark Matter, Shells in Elliptical Galaxies, and the Axioms of General Relativity (December, 2012)
  14. 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
  15. 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
  16. 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
  17. 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
  18. Bray, HL; Khuri, MA, A jang equation approach to the penrose inequality, Discrete and Continuous Dynamical Systems Series A, vol. 27 no. 2 (June, 2010), pp. 741-766, American Institute of Mathematical Sciences (AIMS), ISSN 1078-0947
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. H.L. Bray, The Positve Energy Theorem and Other Inequalities in GR, in The Encyclopedia of Mathematical Physics (2005)
  25. Bray, H, The Positve Energy Theorem and Other Inequalities, in The Encyclopedia of Mathematical Physics (2005)
  26. 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
  27. Bray, H, Geometric Flows and the Penrose Inequality, in Encyclopedia of Mathematical Physics: Five-Volume Set (January, 2004), pp. 510-520, ISBN 9780125126663
  28. 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
  29. 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)
  30. 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
  31. 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
  32. 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
  33. 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
  34. 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
  35. 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
  36. Bray, H; Schoen, RM, Recent Proofs of the Riemannian Penrose Conjecture, in Current Developments in Mathematics (1999), pp. 1-36, International Press
  37. Bray, H; McCormick, K; Wells, RO; Zhou, XD, Wavelet variations on the Shannon sampling theorem., Biosystems, vol. 34 no. 1-3 (January, 1995), pp. 249-257, Elsevier Science Ireland, ISSN 0303-2647

Other

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