Edit Profile (opens in new tab) O’Neill, Barrett Compute Distance To: Compute Author ID: oneill.barrett Published as: O’Neill, Barrett; O’Neill, B. External Links: MGP · Wikidata · IdRef Documents Indexed: 23 Publications since 1953, including 5 Books Co-Authors: 4 Co-Authors with 4 Joint Publications 101 Co-Co-Authors all top 5 Co-Authors 18 single-authored 2 Straus, Ernst G. 1 Bishop, Richard L. 1 Eberlein, Patrick B. 1 Falgout, Robert D. 1 Manteuffel, Thomas A. 1 Motzkin, Theodore Samuel 1 Schroder, Jacob B. all top 5 Serials 5 Proceedings of the American Mathematical Society 3 Michigan Mathematical Journal 3 Pacific Journal of Mathematics 2 Duke Mathematical Journal 1 The American Statistician 1 American Journal of Mathematics 1 Canadian Journal of Mathematics 1 Transactions of the American Mathematical Society 1 SIAM Journal on Scientific Computing all top 5 Fields 7 Differential geometry (53-XX) 2 Relativity and gravitational theory (83-XX) 1 Group theory and generalizations (20-XX) 1 Partial differential equations (35-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 2,338 times in 2,147 Documents Cited by ▼ Year ▼ Semi-Riemannian geometry. With applications to relativity. Zbl 0531.53051O’Neill, Barrett 1,017 1983 The fundamental equations of a submersion. Zbl 0145.18602O’Neill, B. 463 1966 Manifolds of negative curvature. Zbl 0191.52002Bishop, R. L.; O’Neill, B. 366 1969 Visibility manifolds. Zbl 0264.53026Eberlein, P.; O’Neill, B. 208 1973 Isotropic and Kähler immersions. Zbl 0171.20503O’Neill, B. 57 1965 Elementary differential geometry. Zbl 0971.53500O’Neill, Barrett 46 1966 The geometry of Kerr black holes. Zbl 0828.53078O’Neill, Barrett 35 1995 Essential sets and fixed points. Zbl 0050.39202O’Neill, Barrett 29 1953 Submersions and geodesics. Zbl 0147.40605O’Neill, B. 26 1967 Elementary differential geometry. 2nd ed. Zbl 0974.53001O’Neill, Barrett 22 1997 Elementary differential geometry. Revision of the 2nd ed. 1997. Zbl 1208.53003O’Neill, Barrett 18 2006 Isometric immersion of flat Riemannian manifolds in Euclidean space. Zbl 0105.15603O’Neill, Barrett 13 1962 Immersion of manifolds of nonpositive curvature. Zbl 0123.38604O’Neill, Barrett 11 1960 Induced homology homomorphisms for set-valued maps. Zbl 0079.16902O’Neill, Barrett 7 1957 Multigrid reduction in time for nonlinear parabolic problems: a case study. Zbl 1395.65066Falgout, R. D.; Manteuffel, T. A.; O’Neill, B.; Schroder, J. B. 6 2017 Construction of Riemannian coverings. Zbl 0188.26302O’Neill, B. 6 1968 Isometric immersions which preserve curvature operators. Zbl 0122.40303O’Neill, B. 5 1962 A fixed point theorem. Zbl 0091.36801O’Neill, B.; Straus, E. G. 3 1958 Isolated subgroups. Zbl 0287.20029Motzkin, T. S.; O’Neill, B.; Straus, E. G. 3 1973 A fixed point theorem for multi-valued functions. Zbl 0079.38905O’Neill, Barrett 2 1957 An algebraic criterion for immersion. Zbl 0093.35002O’Neill, Barrett 1 1959 Multigrid reduction in time for nonlinear parabolic problems: a case study. Zbl 1395.65066Falgout, R. D.; Manteuffel, T. A.; O’Neill, B.; Schroder, J. B. 6 2017 Elementary differential geometry. Revision of the 2nd ed. 1997. Zbl 1208.53003O’Neill, Barrett 18 2006 Elementary differential geometry. 2nd ed. Zbl 0974.53001O’Neill, Barrett 22 1997 The geometry of Kerr black holes. Zbl 0828.53078O’Neill, Barrett 35 1995 Semi-Riemannian geometry. With applications to relativity. Zbl 0531.53051O’Neill, Barrett 1,017 1983 Visibility manifolds. Zbl 0264.53026Eberlein, P.; O’Neill, B. 208 1973 Isolated subgroups. Zbl 0287.20029Motzkin, T. S.; O’Neill, B.; Straus, E. G. 3 1973 Manifolds of negative curvature. Zbl 0191.52002Bishop, R. L.; O’Neill, B. 366 1969 Construction of Riemannian coverings. Zbl 0188.26302O’Neill, B. 6 1968 Submersions and geodesics. Zbl 0147.40605O’Neill, B. 26 1967 The fundamental equations of a submersion. Zbl 0145.18602O’Neill, B. 463 1966 Elementary differential geometry. Zbl 0971.53500O’Neill, Barrett 46 1966 Isotropic and Kähler immersions. Zbl 0171.20503O’Neill, B. 57 1965 Isometric immersion of flat Riemannian manifolds in Euclidean space. Zbl 0105.15603O’Neill, Barrett 13 1962 Isometric immersions which preserve curvature operators. Zbl 0122.40303O’Neill, B. 5 1962 Immersion of manifolds of nonpositive curvature. Zbl 0123.38604O’Neill, Barrett 11 1960 An algebraic criterion for immersion. Zbl 0093.35002O’Neill, Barrett 1 1959 A fixed point theorem. Zbl 0091.36801O’Neill, B.; Straus, E. G. 3 1958 Induced homology homomorphisms for set-valued maps. Zbl 0079.16902O’Neill, Barrett 7 1957 A fixed point theorem for multi-valued functions. Zbl 0079.38905O’Neill, Barrett 2 1957 Essential sets and fixed points. Zbl 0050.39202O’Neill, Barrett 29 1953 all cited Publications top 5 cited Publications all top 5 Cited by 2,147 Authors 41 de Lima, Henrique F. 29 Siraj-Uddin 26 Rubio, Rafael María 23 Romero, Alfonso 20 De, Uday Chand 18 Sánchez Caja, Miguel 17 Korpinar, Talat 17 Ṣahin, Bayram 16 Yayli, Yusuf 15 Al-Solamy, Falleh Rijaullah 15 Ali, Akram 14 Masiello, Antonio 14 Shenawy, Sameh 13 Kim, Youngho 13 Pelegrín, José A. S. 13 Velásquez, Marco Antonio Lázaro 12 Chen, Bang-Yen 12 İlarslan, Kazim 12 Ünal, Bülent 12 Vrancken, Luc 11 Giannoni, Fabio 11 Khan, Meraj Ali 10 Alkhaldi, Ali H. 10 Berestovskiĭ, Valeriĭ Nikolaevich 10 Eberlein, Patrick B. 10 Holopainen, Ilkka 10 Hu, Zejun 10 Kunzinger, Michael 10 Nešović, Emilija 10 Schröder, Viktor M. H. 10 Suh, Young Jin 9 Akyol, Mehmet Akif 9 Alías, Luis J. 9 Aquino, Cicero Pedro 9 de la Fuente, Daniel 9 Dos Santos, Fábio Reis 9 Gutiérrez, Manuel 9 Izumiya, Shyuichi 9 Palomo, Francisco J. 9 Piccione, Paolo 9 Turhan, Essin 9 Walschap, Gerard 9 Wilhelm, Frederick H. jun. 9 Wood, Chris M. 8 Aledo, Juan Ángel 8 Barros, Manuel 8 Bhattacharyya, Arindam 8 Calvaruso, Giovanni 8 Candela, Anna Maria 8 Chen, Su-Shing 8 Çöken, Abdilkadir Ceylan 8 Dragomir, Sorin 8 Duggal, Krishan Lal 8 Flores, José Luis 8 García-Río, Eduardo 8 Herrera, Jónatan 8 Hui, Shyamal Kumar 8 Pal, Buddhadev 8 Palmer, Vicente 8 Prasad, Rajendra 8 Salamanca, Juan Jesús 8 Steinbauer, Roland 8 Vanhecke, Lieven 8 Yavin, Yaakov 7 Albujer, Alma L. 7 Bartolo, Rossella 7 Caponio, Erasmo 7 Castéras, Jean-baptiste 7 DeVito, Jason 7 Gündüzalp, Yılmaz 7 Kumar, Rakesh 7 Kumar, Sushil 7 Lima, Eraldo Almeida jun. 7 Murathan, Cengizhan 7 Oliveira, Arlandson Matheus Silva 7 Ortega, Miguel 7 Pahan, Sampa 7 Ripoll, Jaime Bruck 7 Santos, Márcio S. 7 Taştan, Hakan Mete 7 Uçum, Ali 7 Vîlcu, Gabriel Eduard 6 Adachi, Toshiaki 6 Caminha, Antonio 6 de Lima, Eudes Leite 6 Deshmukh, Sharief 6 Dobarro, Fernando Ruben 6 Du, Li 6 Escobales, Richard H. jun. 6 Galloway, Gregory J. 6 Germinario, Anna Valeria 6 Gomes, José Nazareno Vieira 6 Guediri, Mohammed 6 Heinonen, Esko 6 Inoguchi, Jun-ichi 6 Javaloyes, Miguel Angel 6 Leandro, Benedito 6 Liu, Jiancheng 6 Maeda, Sadahiro 6 Marrero, Juan Carlos ...and 2,047 more Authors all top 5 Cited in 323 Serials 166 Journal of Geometry and Physics 122 Differential Geometry and its Applications 87 Transactions of the American Mathematical Society 61 Proceedings of the American Mathematical Society 53 Journal of Mathematical Analysis and Applications 51 The Journal of Geometric Analysis 43 Mathematische Annalen 43 Annals of Global Analysis and Geometry 41 International Journal of Geometric Methods in Modern Physics 36 Annali di Matematica Pura ed Applicata. Serie Quarta 35 Journal of Geometry 35 Tôhoku Mathematical Journal. Second Series 34 General Relativity and Gravitation 34 Mediterranean Journal of Mathematics 32 Mathematische Zeitschrift 29 Results in Mathematics 28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 Journal of Mathematical Physics 25 Geometriae Dedicata 21 Classical and Quantum Gravity 21 Advances in Mathematics 19 Journal of Differential Equations 18 Communications in Mathematical Physics 16 Kodai Mathematical Journal 16 Filomat 16 Advances in Mathematical Physics 15 Manuscripta Mathematica 15 Annales Henri Poincaré 15 Afrika Matematika 14 Inventiones Mathematicae 13 International Journal of Theoretical Physics 13 Reports on Mathematical Physics 13 Journal of Functional Analysis 13 Advances in Applied Clifford Algebras 12 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 12 Journal of Dynamical Systems and Geometric Theories 12 Kodai Mathematical Seminar Reports 11 Archiv der Mathematik 11 Rendiconti del Circolo Matemàtico di Palermo. Serie II 11 Siberian Mathematical Journal 11 Ergodic Theory and Dynamical Systems 11 Turkish Journal of Mathematics 11 Bulletin of the Brazilian Mathematical Society. New Series 11 Bulletin of the American Mathematical Society 10 Chaos, Solitons and Fractals 10 Annales de l’Institut Fourier 10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 10 Duke Mathematical Journal 10 International Journal of Mathematics and Mathematical Sciences 10 Journal of Soviet Mathematics 10 Lobachevskii Journal of Mathematics 10 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 9 Letters in Mathematical Physics 9 Applied Mathematics and Computation 9 Mathematical Physics, Analysis and Geometry 9 Foundations of Physics 9 Nonlinear Analysis. Theory, Methods & Applications 8 Israel Journal of Mathematics 8 Compositio Mathematica 8 Proceedings of the Japan Academy. Series A 8 Topology and its Applications 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Journal of the Egyptian Mathematical Society 8 Arab Journal of Mathematical Sciences 8 DGDS. Differential Geometry – Dynamical Systems 7 Bulletin of the Australian Mathematical Society 7 Nuclear Physics. B 7 Czechoslovak Mathematical Journal 7 Tokyo Journal of Mathematics 7 Journal of Mathematical Imaging and Vision 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Calculus of Variations and Partial Differential Equations 7 Journal of Mathematical Sciences (New York) 7 Geometry & Topology 7 Acta Mathematica Sinica. English Series 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 International Journal of Mathematics 6 Linear Algebra and its Applications 6 Mathematical Problems in Engineering 6 Abstract and Applied Analysis 6 Journal of Inequalities and Applications 6 Communications in Contemporary Mathematics 6 Asian-European Journal of Mathematics 6 Analysis and Mathematical Physics 5 Mathematical Notes 5 Ukrainian Mathematical Journal 5 Publications Mathématiques 5 Monatshefte für Mathematik 5 Nagoya Mathematical Journal 5 Quaestiones Mathematicae 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Computer Aided Geometric Design 5 Mathematical and Computer Modelling 5 Communications in Partial Differential Equations 5 Pattern Recognition 5 Bulletin of the American Mathematical Society. New Series 5 Annales de l’Institut Henri Poincaré. Physique Théorique 5 Discrete and Continuous Dynamical Systems 5 Communications of the Korean Mathematical Society ...and 223 more Serials all top 5 Cited in 58 Fields 1,759 Differential geometry (53-XX) 301 Global analysis, analysis on manifolds (58-XX) 258 Relativity and gravitational theory (83-XX) 133 Partial differential equations (35-XX) 117 Manifolds and cell complexes (57-XX) 90 Dynamical systems and ergodic theory (37-XX) 65 Topological groups, Lie groups (22-XX) 65 Quantum theory (81-XX) 57 Mechanics of particles and systems (70-XX) 47 Several complex variables and analytic spaces (32-XX) 40 Algebraic topology (55-XX) 39 Probability theory and stochastic processes (60-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 32 Statistics (62-XX) 27 Functional analysis (46-XX) 27 General topology (54-XX) 24 Functions of a complex variable (30-XX) 24 Potential theory (31-XX) 22 Geometry (51-XX) 22 Computer science (68-XX) 20 Operator theory (47-XX) 19 Ordinary differential equations (34-XX) 18 Algebraic geometry (14-XX) 18 Convex and discrete geometry (52-XX) 18 Numerical analysis (65-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 14 Group theory and generalizations (20-XX) 14 Measure and integration (28-XX) 14 Fluid mechanics (76-XX) 14 Optics, electromagnetic theory (78-XX) 13 Nonassociative rings and algebras (17-XX) 13 Operations research, mathematical programming (90-XX) 10 \(K\)-theory (19-XX) 9 Real functions (26-XX) 9 Systems theory; control (93-XX) 8 Astronomy and astrophysics (85-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Information and communication theory, circuits (94-XX) 7 Combinatorics (05-XX) 7 Number theory (11-XX) 7 Abstract harmonic analysis (43-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Mechanics of deformable solids (74-XX) 4 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Associative rings and algebras (16-XX) 3 Biology and other natural sciences (92-XX) 2 Mathematical logic and foundations (03-XX) 2 Geophysics (86-XX) 2 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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