Edit Profile (opens in new tab) Bray, Hubert L. Co-Author Distance Author ID: bray.hubert-l Published as: Bray, Hubert L.; Bray, Hubert; Bray, H. more...less Documents Indexed: 33 Publications since 1999, including 4 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 35 Co-Authors with 26 Joint Publications 1,027 Co-Co-Authors all top 5 Co-Authors 9 single-authored 4 Jauregui, Jeffrey L. 4 Khuri, Marcus A. 3 Arroja Neves, André 3 Zhang, Yiyue 2 Brendle, Simon 2 Eichmair, Michael 2 Hirsch, Sven 2 Kazaras, Demetre P. 2 Mars, Marc 2 Minicozzi, William Philip II 2 Stern, Daniel L. 1 Chruściel, Piotr Tadeusz 1 Finster, Felix 1 Fraser, Ailana M. 1 Galloway, Greg 1 Gui, Feng 1 Hamm, Benjamin 1 Hayward, Sean A. 1 Huang, Lan-Hsuan 1 Iga, Kevin M. 1 Kusner, Rob 1 Lee, Dan Archibald 1 Liu, Zhenhua 1 Marques, Fernando Codá 1 Mazzeo, Rafe R. 1 Mese, Chikako 1 Miao, Pengzi 1 Morgan, Frank 1 Roesch, Henri P. 1 Schoen, Richard Melvin 1 Šešum, Nataša 1 Simon, Walter 1 Uhlenbeck, Karen Keskulla 1 Wheeler, James T. 1 Yau, Shing-Tung all top 5 Serials 3 Notices of the American Mathematical Society 3 Communications in Analysis and Geometry 2 Communications in Mathematical Physics 2 The Asian Journal of Mathematics 1 Communications on Pure and Applied Mathematics 1 Archiv der Mathematik 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Proceedings of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Discrete and Continuous Dynamical Systems 1 Annals of Mathematics. Second Series 1 Annales Henri Poincaré 1 Pure and Applied Mathematics Quarterly 1 IAS/Park City Mathematics Series 1 Advanced Lectures in Mathematics (ALM) all top 5 Fields 32 Differential geometry (53-XX) 18 Relativity and gravitational theory (83-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 520 times in 319 Documents Cited by ▼ Year ▼ Proof of the Riemannian Penrose inequality using the positive mass theorem. Zbl 1039.53034 Bray, Hubert L. 164 2001 On the Riemannian Penrose inequality in dimensions less than eight. Zbl 1168.53016 Bray, Hubert L.; Lee, Dan A. 58 2009 Rigidity of area-minimizing two-spheres in three-manifolds. Zbl 1226.53054 Bray, Hubert; Brendle, Simon; Neves, Andre 40 2010 Classification of prime 3-manifolds with \(\sigma\) invariant greater than \(\mathbb RP^3\). Zbl 1066.53077 Bray, Hubert L.; Neves, André 36 2004 P.D.E.’s which imply the Penrose conjecture. Zbl 1244.83016 Bray, Hubert L.; Khuri, Marcus A. 29 2011 On the capacity of surfaces in manifolds with nonnegative scalar curvature. Zbl 1141.53059 Bray, Hubert; Miao, Pengzi 23 2008 The Penrose inequality. Zbl 1058.83006 Bray, Hubert L.; Chruściel, Piotr T. 20 2004 Area-minimizing projective planes in 3-manifolds. Zbl 1200.53053 Bray, H.; Brendle, S.; Eichmair, M.; Neves, A. 19 2010 A Jang equation approach to the Penrose inequality. Zbl 1193.53169 Bray, Hubert L.; Khuri, Marcus A. 17 2010 An isoperimetric comparison theorem for Schwarzschild space and other manifolds. Zbl 0994.53029 Bray, Hubert; Morgan, Frank 17 2002 Curvature estimates and the positive mass theorem. Zbl 1030.53041 Bray, Hubert; Finster, Felix 15 2002 Generalized inverse mean curvature flows in spacetime. Zbl 1147.53052 Bray, Hubert; Hayward, Sean; Mars, Marc; Simon, Walter 14 2007 On the positive mass, Penrose, and ZAS inequalities in general dimension. Zbl 1260.53127 Bray, Hubert L. 12 2011 Black holes, geometric flows, and the Penrose inequality in general relativity. Zbl 1126.83304 Bray, Hubert L. 9 2002 Superharmonic functions in \(\mathbb{R}^n\) and the Penrose inequality in general relativity. Zbl 1035.31002 Bray, Hubert L.; Iga, Kevin 8 2002 On curves with nonnegative torsion. Zbl 1320.53004 Bray, Hubert L.; Jauregui, Jeffrey L. 8 2015 Harmonic functions and the mass of 3-dimensional asymptotically flat Riemannian manifolds. Zbl 1496.53048 Bray, Hubert L.; Kazaras, Demetre P.; Khuri, Marcus A.; Stern, Daniel L. 7 2022 A geometric theory of zero area singularities in general relativity. Zbl 1282.53059 Bray, Hubert L.; Jauregui, Jeffrey L. 6 2013 Time flat surfaces and the monotonicity of the spacetime Hawking mass. Zbl 1311.83006 Bray, Hubert L.; Jauregui, Jeffrey L. 5 2015 Time flat surfaces and the monotonicity of the spacetime Hawking mass. II. Zbl 1342.83009 Bray, Hubert L.; Jauregui, Jeffrey L.; Mars, Marc 3 2016 On dark matter, spiral galaxies, and the axioms of general relativity. Zbl 1318.83007 Bray, Hubert L. 3 2013 Proof of a null geometry Penrose conjecture. Zbl 1387.83018 Bray, Hubert L.; Roesch, Henri P. 2 2018 Black holes and the Penrose inequality in general relativity. Zbl 1009.53050 Bray, Hubert L. 2 2002 Spacetime harmonic functions and applications to mass. Zbl 07733283 Bray, Hubert; Hirsch, Sven; Kazaras, Demetre; Khuri, Marcus; Zhang, Yiyue 2 2023 The mathematics of Richard Schoen. Zbl 1406.53002 Bray, Hubert L.; Minicozzi, William P. II; Eichmair, Michael; Huang, Lan-Hsuan; Yau, Shing-Tung; Uhlenbeck, Karen; Kusner, Rob; Codá Marques, Fernando; Mese, Chikako; Fraser, Ailana 1 2018 Spacetime harmonic functions and applications to mass. Zbl 07733283 Bray, Hubert; Hirsch, Sven; Kazaras, Demetre; Khuri, Marcus; Zhang, Yiyue 2 2023 Harmonic functions and the mass of 3-dimensional asymptotically flat Riemannian manifolds. Zbl 1496.53048 Bray, Hubert L.; Kazaras, Demetre P.; Khuri, Marcus A.; Stern, Daniel L. 7 2022 Proof of a null geometry Penrose conjecture. Zbl 1387.83018 Bray, Hubert L.; Roesch, Henri P. 2 2018 The mathematics of Richard Schoen. Zbl 1406.53002 Bray, Hubert L.; Minicozzi, William P. II; Eichmair, Michael; Huang, Lan-Hsuan; Yau, Shing-Tung; Uhlenbeck, Karen; Kusner, Rob; Codá Marques, Fernando; Mese, Chikako; Fraser, Ailana 1 2018 Time flat surfaces and the monotonicity of the spacetime Hawking mass. II. Zbl 1342.83009 Bray, Hubert L.; Jauregui, Jeffrey L.; Mars, Marc 3 2016 On curves with nonnegative torsion. Zbl 1320.53004 Bray, Hubert L.; Jauregui, Jeffrey L. 8 2015 Time flat surfaces and the monotonicity of the spacetime Hawking mass. Zbl 1311.83006 Bray, Hubert L.; Jauregui, Jeffrey L. 5 2015 A geometric theory of zero area singularities in general relativity. Zbl 1282.53059 Bray, Hubert L.; Jauregui, Jeffrey L. 6 2013 On dark matter, spiral galaxies, and the axioms of general relativity. Zbl 1318.83007 Bray, Hubert L. 3 2013 P.D.E.’s which imply the Penrose conjecture. Zbl 1244.83016 Bray, Hubert L.; Khuri, Marcus A. 29 2011 On the positive mass, Penrose, and ZAS inequalities in general dimension. Zbl 1260.53127 Bray, Hubert L. 12 2011 Rigidity of area-minimizing two-spheres in three-manifolds. Zbl 1226.53054 Bray, Hubert; Brendle, Simon; Neves, Andre 40 2010 Area-minimizing projective planes in 3-manifolds. Zbl 1200.53053 Bray, H.; Brendle, S.; Eichmair, M.; Neves, A. 19 2010 A Jang equation approach to the Penrose inequality. Zbl 1193.53169 Bray, Hubert L.; Khuri, Marcus A. 17 2010 On the Riemannian Penrose inequality in dimensions less than eight. Zbl 1168.53016 Bray, Hubert L.; Lee, Dan A. 58 2009 On the capacity of surfaces in manifolds with nonnegative scalar curvature. Zbl 1141.53059 Bray, Hubert; Miao, Pengzi 23 2008 Generalized inverse mean curvature flows in spacetime. Zbl 1147.53052 Bray, Hubert; Hayward, Sean; Mars, Marc; Simon, Walter 14 2007 Classification of prime 3-manifolds with \(\sigma\) invariant greater than \(\mathbb RP^3\). Zbl 1066.53077 Bray, Hubert L.; Neves, André 36 2004 The Penrose inequality. Zbl 1058.83006 Bray, Hubert L.; Chruściel, Piotr T. 20 2004 An isoperimetric comparison theorem for Schwarzschild space and other manifolds. Zbl 0994.53029 Bray, Hubert; Morgan, Frank 17 2002 Curvature estimates and the positive mass theorem. Zbl 1030.53041 Bray, Hubert; Finster, Felix 15 2002 Black holes, geometric flows, and the Penrose inequality in general relativity. Zbl 1126.83304 Bray, Hubert L. 9 2002 Superharmonic functions in \(\mathbb{R}^n\) and the Penrose inequality in general relativity. Zbl 1035.31002 Bray, Hubert L.; Iga, Kevin 8 2002 Black holes and the Penrose inequality in general relativity. Zbl 1009.53050 Bray, Hubert L. 2 2002 Proof of the Riemannian Penrose inequality using the positive mass theorem. Zbl 1039.53034 Bray, Hubert L. 164 2001 all cited Publications top 5 cited Publications all top 5 Cited by 322 Authors 20 Khuri, Marcus A. 16 Miao, Pengzi 10 Lee, Dan Archibald 9 Jauregui, Jeffrey L. 7 Bray, Hubert L. 7 Eichmair, Michael 7 Mazzieri, Lorenzo 7 Sakovich, Anna 7 Xiao, Jie 6 Alaee, Aghil 6 Shi, Yuguang 5 Agostiniani, Virginia 5 Allen, Brian Daniel 5 Ge, Yuxin 5 Huang, Lan-Hsuan 5 Sormani, Christina 5 Tam, Luen-Fai 5 Wang, Guofang 5 Wu, Jie 4 Ammann, Bernd Eberhard 4 Brendle, Simon 4 Bryden, Edward T. 4 Cabrera Pacheco, Armando J. 4 Carlotto, Alessandro 4 Cederbaum, Carla 4 Cha, Ye Sle 4 Chodosh, Otis 4 Girão, Frederico 4 Ho, Pak Tung 4 Humbert, Emmanuel 4 Li, Chao 4 Lopes de Lima, Levi 4 Pyo, Juncheol 4 Raulot, Simon 4 Silva Neto, Gregório 4 Xia, Chao 4 Xie, Naqing 4 Yau, Shing-Tung 4 Zhu, Jintian 3 Akutagawa, Kazuo 3 Ambrozio, Lucas C. 3 Arroja Neves, André 3 Corvino, Justin 3 Dahl, Mattias 3 Finster, Felix 3 Galloway, Gregory J. 3 Jaracz, Jaroslaw S. 3 Körber, Thomas 3 Lesourd, Martin 3 Li, Haizhong 3 Mantoulidis, Christos 3 Mars, Marc 3 Mendes, Abraão 3 Morgan, Frank 3 Paeng, Seong-Hun 3 Petean, Jimmy 3 Schwartz, Fernando 3 Wei, Yong 3 Weinstein, Gilbert 2 Alencar, Hilário 2 Anglada, Pablo 2 Barros, Abdênago A. 2 Batista, Rondinelle Marcolino 2 Bengtsson, Ingemar 2 Chruściel, Piotr Tadeusz 2 Espinar, José María 2 Fogagnolo, Mattia 2 Gicquaud, Romain 2 Große, Nadine 2 Han, Qing 2 Haslhofer, Robert 2 Hayward, Sean A. 2 Hijazi, Oussama 2 Hirsch, Sven 2 Jang, Hyunchul 2 Kamran, Niky 2 Kim, Daehwan 2 LeBrun, Claude R. 2 Lima, Vanderson 2 Livshyts, Galyna V. 2 Marquardt, Thomas 2 Marques, Fernando Codá 2 Mccormick, Stephen Michael 2 Metzger, Jan 2 Montezuma, Rafael 2 Montiel, Sebastián 2 Moraru, Vlad 2 Nardmann, Marc 2 Oronzio, Francesca 2 Peng, Yan 2 Pollack, Daniel 2 Ruiz, Juan Miguel 2 Sánchez Caja, Miguel 2 Sokolowsky, Benjamin D. 2 Szabados, László B. 2 Tafel, Jacek 2 Xiong, Changwei 2 Yamada, Sumio 2 Yin, Jiabin 1 Abedin, Farhan ...and 222 more Authors all top 5 Cited in 78 Serials 38 Communications in Mathematical Physics 20 The Journal of Geometric Analysis 17 Classical and Quantum Gravity 16 General Relativity and Gravitation 16 Proceedings of the American Mathematical Society 15 Annales Henri Poincaré 13 Journal of Geometry and Physics 13 Calculus of Variations and Partial Differential Equations 11 Annals of Global Analysis and Geometry 8 Transactions of the American Mathematical Society 7 Mathematische Annalen 6 Journal of Mathematical Physics 6 Advances in Mathematics 6 Inventiones Mathematicae 6 Journal of Differential Geometry 6 Journal für die Reine und Angewandte Mathematik 6 Differential Geometry and its Applications 5 Duke Mathematical Journal 5 Mathematische Zeitschrift 5 Pacific Journal of Mathematics 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Results in Mathematics 4 Living Reviews in Relativity 3 Journal of Mathematical Analysis and Applications 3 Journal of High Energy Physics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Letters in Mathematical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Nuclear Physics. B 2 Geometriae Dedicata 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Revista Matemática Iberoamericana 2 Journal of the American Mathematical Society 2 International Journal of Mathematics 2 Communications in Partial Differential Equations 2 Bulletin of the American Mathematical Society. New Series 2 International Journal of Modern Physics D 2 Annals of Mathematics. Second Series 2 Communications in Contemporary Mathematics 2 Oberwolfach Reports 1 Modern Physics Letters A 1 Archive for Rational Mechanics and Analysis 1 International Journal of Theoretical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Nonlinearity 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Journal of the London Mathematical Society. Second Series 1 Numerische Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Applied Numerical Mathematics 1 Sugaku Expositions 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Annals of Physics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Revista Matemática Complutense 1 Advances in Geometry 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of the Australian Mathematical Society 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Milan Journal of Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Foundations of Physics 1 Frontiers of Mathematics in China 1 East Asian Mathematical Journal 1 Communications in Theoretical Physics 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Analysis and Mathematical Physics all top 5 Cited in 35 Fields 265 Differential geometry (53-XX) 146 Relativity and gravitational theory (83-XX) 43 Global analysis, analysis on manifolds (58-XX) 34 Partial differential equations (35-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 12 Potential theory (31-XX) 12 Manifolds and cell complexes (57-XX) 7 Quantum theory (81-XX) 6 Convex and discrete geometry (52-XX) 5 Numerical analysis (65-XX) 4 Algebraic geometry (14-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Operator theory (47-XX) 4 Astronomy and astrophysics (85-XX) 3 General and overarching topics; collections (00-XX) 3 Geometry (51-XX) 3 Mechanics of particles and systems (70-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 General topology (54-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year