Edit Profile (opens in new tab) DeTurck, Dennis M. Compute Distance To: Compute Author ID: deturck.dennis-m Published as: DeTurck, Dennis; DeTurck, Dennis M.; DeTurck, D.; DeTurck, D. M.; DeTurk, Dennis more...less Homepage: https://www.math.upenn.edu/~deturck/ External Links: MGP · Wikidata · dblp · GND · IdRef Member of Collective: Besse, Arthur Lancelot Documents Indexed: 53 Publications since 1980 1 Contribution as Editor Co-Authors: 29 Co-Authors with 43 Joint Publications 396 Co-Co-Authors all top 5 Co-Authors 11 single-authored 20 Gluck, Herman 10 Gordon, Carolyn S. 6 Goldschmidt, Hubert Leopold 6 Webb, David L. 4 Cantarella, Jason H. 4 Talvacchia, Janet 4 Vela-Vick, David Shea 3 Komendarczyk, Rafal 3 Melvin, Paul M. 3 Shonkwiler, Clayton 3 Ziller, Wolfgang 2 Cao, Jianguo 2 Kamberov, George I. 2 Yang, Deane 1 Cappell, Sylvain E. 1 Chang, Pei-Kun 1 Elsaify, Amora 1 Grossmann, Benjamin 1 Hoisington, Joseph Ansel 1 Kazdan, Jerry L. 1 Koiso, Norihito 1 Krishnan, Anusha M. 1 Lee, Kyung Bai 1 Miller, Edward Y. 1 Nuchi, Haggai 1 Pomerleano, Daniel 1 Scedrov, Andre 1 Storm, Peter A. 1 Teytel, Mikhail 1 Zhang, Jianru all top 5 Serials 4 Journal of Mathematical Physics 3 Notices of the American Mathematical Society 2 Communications on Pure and Applied Mathematics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Commentarii Mathematici Helvetici 2 Inventiones Mathematicae 2 Journal of Differential Geometry 2 Forum Mathematicum 2 Bulletin of the American Mathematical Society. New Series 2 Matemática Contemporânea 2 Algebraic & Geometric Topology 1 American Mathematical Monthly 1 The Mathematical Intelligencer 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Hokkaido Mathematical Journal 1 Indiana University Mathematics Journal 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 Rendiconti del Seminario Matematico 1 Mathematical Modelling 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Contemporary Mathematics all top 5 Fields 40 Differential geometry (53-XX) 24 Global analysis, analysis on manifolds (58-XX) 11 Partial differential equations (35-XX) 9 Manifolds and cell complexes (57-XX) 6 Optics, electromagnetic theory (78-XX) 3 History and biography (01-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Quantum theory (81-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 44 Publications have been cited 640 times in 479 Documents Cited by ▼ Year ▼ Some regularity theorems in Riemannian geometry. Zbl 0486.53014DeTurck, Dennis M.; Kazdan, Jerry L. 115 1981 Deforming metrics in the direction of their Ricci tensors. Zbl 0517.53044DeTurck, Dennis M. 100 1983 Existence of metrics with prescribed Ricci curvature: Local theory. Zbl 0489.53014DeTurck, Dennis M. 47 1981 Vector calculus and the topology of domains in 3-space. Zbl 1038.53017Cantarella, Jason; DeTurck, Dennis; Gluck, Herman 38 2002 Isospectral deformations. II: Trace formulas, metrics, and potentials. Zbl 0709.53030DeTurck, Dennis M.; Gordon, Carolyn S. 28 1989 Uniqueness and non-existence of metrics with prescribed Ricci curvature. Zbl 0556.53026DeTurck, Dennis M.; Koiso, Norihito 21 1984 Isospectral deformations. I: Riemannian structures on two-step nilspaces. Zbl 0649.53025DeTurck, Dennis M.; Gordon, Carolyn S. 20 1987 The Biot-Savart operator for application to knot theory, fluid dynamics, and plasma physics. Zbl 1006.78003Cantarella, Jason; DeTurck, Dennis; Gluck, Herman 18 2001 The four vertex theorem and its converse. Zbl 1142.53004DeTurck, Dennis; Gluck, Herman; Pomerleano, Daniel; Vick, David Shea 14 2007 Metrics with prescribed Ricci curvature of constant rank. I: The integrable case. Zbl 0951.53013DeTurck, Dennis; Goldschmidt, Hubert 14 1999 Isoperimetric problems for the helicity of vector fields and the Biot-Savart and curl operators. Zbl 1054.78500Cantarella, Jason; DeTurck, Dennis; Gluck, Herman; Teytel, Mikhail 14 2000 The Cauchy problem for Lorentz metrics with prescribed Ricci curvature. Zbl 0527.53037DeTurck, Dennis M. 13 1983 Cohomology of harmonic forms on Riemannian manifolds with boundary. Zbl 1114.53031Cappell, Sylvain; DeTurck, Dennis; Gluck, Herman; Miller, Edward Y. 13 2006 Metrics with prescribed Ricci curvature. Zbl 0478.53031DeTurck, Dennis M. 12 1982 The approach to consistency in the analytic hierarchy process. Zbl 0631.90003DeTurck, D. M. 12 1987 Existence of elastic deformations with prescribed principal strains and triply orthogonal systems. Zbl 0544.53012DeTurck, Dennis M.; Yang, Deane 12 1984 The Ricci curvature equation with rotational symmetry. Zbl 0824.53034Cao, Jianguo; DeTurck, Dennis 12 1994 Electrodynamics and the Gauss linking integral on the 3-sphere and in hyperbolic 3-space. Zbl 1153.81348DeTurck, Dennis; Gluck, Herman 11 2008 Minimal isometric immersions of spherical space forms in spheres. Zbl 0768.53028DeTurck, Dennis; Ziller, Wolfgang 11 1992 Triple linking numbers, ambiguous Hopf invariants and integral formulas for three-component links. Zbl 1194.57007DeTurck, D.; Gluck, H.; Komendarczyk, R.; Melvin, P.; Shonkwiler, C.; Vela-Vick, D. S. 10 2008 Regularity theorems in Riemannian geometry. II: Harmonic curvature and the Weyl tensor. Zbl 0727.53025DeTurck, Dennis; Goldschmidt, Hubert 10 1989 Prescribing positive Ricci curvature on compact manifolds. Zbl 0619.53030DeTurck, Dennis M. 9 1985 You can not hear the mass of a homology class. Zbl 0694.53037DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David 9 1989 The inaudible geometry of nilmanifolds. Zbl 0779.53026DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David 8 1993 Upper bounds for the writhing of knots and the helicity of vector fields. Zbl 1006.57008Cantarella, Jason; DeTurck, Dennis; Gluck, Herman 8 2001 Linking, twisting, writing, and helicity on the 3-sphere and in hyperbolic 3-space. Zbl 1268.53083DeTurck, Dennis; Gluck, Herman 6 2013 Connections with prescribed curvature and Yang-Mills currents: The semi- simple case. Zbl 0722.53021DeTurck, Dennis; Goldschmidt, Hubert; Talvacchia, Janet 6 1991 Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows. Zbl 1328.57007DeTurck, Dennis; Gluck, Herman; Komendarczyk, Rafal; Melvin, Paul; Shonkwiler, Clayton; Vela-Vick, David Shea 6 2013 How can a drum change shape, while sounding the same? Zbl 0728.58039DeTurck, D.; Gluck, H.; Gordon, C.; Webb, D. 5 1991 Spherical minimal immersions of spherical space forms. Zbl 0840.53047DeTurck, Dennis; Ziller, Wolfgang 5 1993 The geometry of isospectral deformations. Zbl 0811.53035DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David 5 1993 The equations of prescribed Ricci curvature. Zbl 0457.53009DeTurck, Dennis M. 4 1980 Prescribing Ricci curvature on open surfaces. Zbl 0751.53014Cao, Jianguo; DeTurck, Dennis 4 1991 Conformal isospectral deformations. Zbl 0742.58055DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David 3 1992 Lipschitz minimality of Hopf fibrations and Hopf vector fields. Zbl 1268.53054DeTurck, Dennis; Gluck, Herman; Storm, Peter 3 2013 Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows. II. Zbl 1348.57007DeTurck, Dennis; Gluck, Herman; Komendarczyk, Rafal; Melvin, Paul; Nuchi, Haggai; Shonkwiler, Clayton; Vela-Vick, David Shea 3 2013 Linking integrals in the \(n\)-sphere. Zbl 1195.57056DeTurck, D.; Gluck, H. 2 2008 Local existence of smooth metrics with prescribed curvature. Zbl 0587.53040DeTurck, Dennis; Yang, Deane 2 1986 On hearing the shape of a triangle. Zbl 0721.58053Chang, Pei-Kun; DeTurck, Dennis 2 1989 Local existence of connections with prescribed curvature. Zbl 0749.53006DeTurck, Dennis; Goldschmidt, Hubert; Talvacchia, Janet 1 1990 Connections with prescribed curvature. Zbl 0627.53027DeTurck, D.; Talvacchia, J. 1 1987 Isospectral metrics and finite Riemannian coverings. Zbl 0646.58030DeTurck, Dennis M.; Gordon, Carolyn S. 1 1987 A singular problem in elasticity theory. Zbl 0699.73030DeTurck, Dennis M.; Kamberov, Georgi 1 1987 How can a drum change shape, while sounding the same? II. Zbl 0728.58040DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David 1 1991 Linking, twisting, writing, and helicity on the 3-sphere and in hyperbolic 3-space. Zbl 1268.53083DeTurck, Dennis; Gluck, Herman 6 2013 Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows. Zbl 1328.57007DeTurck, Dennis; Gluck, Herman; Komendarczyk, Rafal; Melvin, Paul; Shonkwiler, Clayton; Vela-Vick, David Shea 6 2013 Lipschitz minimality of Hopf fibrations and Hopf vector fields. Zbl 1268.53054DeTurck, Dennis; Gluck, Herman; Storm, Peter 3 2013 Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows. II. Zbl 1348.57007DeTurck, Dennis; Gluck, Herman; Komendarczyk, Rafal; Melvin, Paul; Nuchi, Haggai; Shonkwiler, Clayton; Vela-Vick, David Shea 3 2013 Electrodynamics and the Gauss linking integral on the 3-sphere and in hyperbolic 3-space. Zbl 1153.81348DeTurck, Dennis; Gluck, Herman 11 2008 Triple linking numbers, ambiguous Hopf invariants and integral formulas for three-component links. Zbl 1194.57007DeTurck, D.; Gluck, H.; Komendarczyk, R.; Melvin, P.; Shonkwiler, C.; Vela-Vick, D. S. 10 2008 Linking integrals in the \(n\)-sphere. Zbl 1195.57056DeTurck, D.; Gluck, H. 2 2008 The four vertex theorem and its converse. Zbl 1142.53004DeTurck, Dennis; Gluck, Herman; Pomerleano, Daniel; Vick, David Shea 14 2007 Cohomology of harmonic forms on Riemannian manifolds with boundary. Zbl 1114.53031Cappell, Sylvain; DeTurck, Dennis; Gluck, Herman; Miller, Edward Y. 13 2006 Vector calculus and the topology of domains in 3-space. Zbl 1038.53017Cantarella, Jason; DeTurck, Dennis; Gluck, Herman 38 2002 The Biot-Savart operator for application to knot theory, fluid dynamics, and plasma physics. Zbl 1006.78003Cantarella, Jason; DeTurck, Dennis; Gluck, Herman 18 2001 Upper bounds for the writhing of knots and the helicity of vector fields. Zbl 1006.57008Cantarella, Jason; DeTurck, Dennis; Gluck, Herman 8 2001 Isoperimetric problems for the helicity of vector fields and the Biot-Savart and curl operators. Zbl 1054.78500Cantarella, Jason; DeTurck, Dennis; Gluck, Herman; Teytel, Mikhail 14 2000 Metrics with prescribed Ricci curvature of constant rank. I: The integrable case. Zbl 0951.53013DeTurck, Dennis; Goldschmidt, Hubert 14 1999 The Ricci curvature equation with rotational symmetry. Zbl 0824.53034Cao, Jianguo; DeTurck, Dennis 12 1994 The inaudible geometry of nilmanifolds. Zbl 0779.53026DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David 8 1993 Spherical minimal immersions of spherical space forms. Zbl 0840.53047DeTurck, Dennis; Ziller, Wolfgang 5 1993 The geometry of isospectral deformations. Zbl 0811.53035DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David 5 1993 Minimal isometric immersions of spherical space forms in spheres. Zbl 0768.53028DeTurck, Dennis; Ziller, Wolfgang 11 1992 Conformal isospectral deformations. Zbl 0742.58055DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David 3 1992 Connections with prescribed curvature and Yang-Mills currents: The semi- simple case. Zbl 0722.53021DeTurck, Dennis; Goldschmidt, Hubert; Talvacchia, Janet 6 1991 How can a drum change shape, while sounding the same? Zbl 0728.58039DeTurck, D.; Gluck, H.; Gordon, C.; Webb, D. 5 1991 Prescribing Ricci curvature on open surfaces. Zbl 0751.53014Cao, Jianguo; DeTurck, Dennis 4 1991 How can a drum change shape, while sounding the same? II. Zbl 0728.58040DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David 1 1991 Local existence of connections with prescribed curvature. Zbl 0749.53006DeTurck, Dennis; Goldschmidt, Hubert; Talvacchia, Janet 1 1990 Isospectral deformations. II: Trace formulas, metrics, and potentials. Zbl 0709.53030DeTurck, Dennis M.; Gordon, Carolyn S. 28 1989 Regularity theorems in Riemannian geometry. II: Harmonic curvature and the Weyl tensor. Zbl 0727.53025DeTurck, Dennis; Goldschmidt, Hubert 10 1989 You can not hear the mass of a homology class. Zbl 0694.53037DeTurck, Dennis; Gluck, Herman; Gordon, Carolyn; Webb, David 9 1989 On hearing the shape of a triangle. Zbl 0721.58053Chang, Pei-Kun; DeTurck, Dennis 2 1989 Isospectral deformations. I: Riemannian structures on two-step nilspaces. Zbl 0649.53025DeTurck, Dennis M.; Gordon, Carolyn S. 20 1987 The approach to consistency in the analytic hierarchy process. Zbl 0631.90003DeTurck, D. M. 12 1987 Connections with prescribed curvature. Zbl 0627.53027DeTurck, D.; Talvacchia, J. 1 1987 Isospectral metrics and finite Riemannian coverings. Zbl 0646.58030DeTurck, Dennis M.; Gordon, Carolyn S. 1 1987 A singular problem in elasticity theory. Zbl 0699.73030DeTurck, Dennis M.; Kamberov, Georgi 1 1987 Local existence of smooth metrics with prescribed curvature. Zbl 0587.53040DeTurck, Dennis; Yang, Deane 2 1986 Prescribing positive Ricci curvature on compact manifolds. Zbl 0619.53030DeTurck, Dennis M. 9 1985 Uniqueness and non-existence of metrics with prescribed Ricci curvature. Zbl 0556.53026DeTurck, Dennis M.; Koiso, Norihito 21 1984 Existence of elastic deformations with prescribed principal strains and triply orthogonal systems. Zbl 0544.53012DeTurck, Dennis M.; Yang, Deane 12 1984 Deforming metrics in the direction of their Ricci tensors. Zbl 0517.53044DeTurck, Dennis M. 100 1983 The Cauchy problem for Lorentz metrics with prescribed Ricci curvature. Zbl 0527.53037DeTurck, Dennis M. 13 1983 Metrics with prescribed Ricci curvature. Zbl 0478.53031DeTurck, Dennis M. 12 1982 Some regularity theorems in Riemannian geometry. Zbl 0486.53014DeTurck, Dennis M.; Kazdan, Jerry L. 115 1981 Existence of metrics with prescribed Ricci curvature: Local theory. Zbl 0489.53014DeTurck, Dennis M. 47 1981 The equations of prescribed Ricci curvature. Zbl 0457.53009DeTurck, Dennis M. 4 1980 all cited Publications top 5 cited Publications all top 5 Cited by 583 Authors 14 DeTurck, Dennis M. 9 Gordon, Carolyn S. 9 Pina, Romildo da Silva 7 Delay, Erwann 7 Gluck, Herman 6 Alonso Rodríguez, Ana 6 Komendarczyk, Rafal 6 Schüth, Dorothee 6 Toth, Gabor 5 Azami, Shahroud 5 Gornet, Ruth 5 Lassas, Matti J. 5 Miatello, Roberto Jorge 5 Pulemotov, Artem 5 Rossetti, Juan Pablo 5 Shonkwiler, Clayton 4 Anderson, Michael T. 4 Brendle, Simon 4 Choi, Young-Jun 4 Gerner, Wadim 4 Ghiloni, Riccardo 4 Hintz, Peter 4 Lauret, Emilio A. 4 Mikeš, Josef 4 Pieterzack, Mauricio 4 Razavi, Asadollah 4 Stepanov, Sergeĭ Evgen’evich 4 Streets, Jeffrey D. 4 Taylor, Michael Eugene 4 Tenenblat, Keti 4 Valli, Alberto 4 Webb, David L. 4 Witt, Frederik 3 Akhmet’ev, Pëtr Mikhaĭlovich 3 Calvaruso, Giovanni 3 Cattaneo, Alberto Sergio 3 Chen, Binglong 3 Chevyrev, Ilya 3 Chow, Bennett 3 Ghahremani-Gol, Hajar 3 Ghomi, Mohammad 3 Jin, Xiaoshang 3 Kowalski, Oldřich 3 Kurylëv, Yaroslav Vadimovich 3 LeBrun, Claude R. 3 Mnëv, Pavel 3 Specogna, Ruben 3 Tsyganok, Irina Ivanovna 3 Vela-Vick, David Shea 3 Weiss, Hartmut 3 Wu, Jiayong 3 Yang, Deane 3 Yavari, Arash 2 Ammann, Bernd Eberhard 2 Anosova, Olga 2 Balandin, Alexander Leonidovich 2 Bamler, Richard H. 2 Ben Abdeljelil, Khaoula 2 Benedetti, Riccardo 2 Bertolazzi, Enrico 2 Bright, Matt 2 Brooks, Robert Wolfe 2 Burkhardt-Guim, Paula 2 Buttsworth, Timothy 2 Camaño, Jessika 2 Cantarella, Jason H. 2 Carfora, Mauro 2 Catino, Giovanni 2 Csikós, Balázs 2 Delanoë, Philippe P. 2 Derdzinski, Andrzej 2 Donegan, H. A. 2 Enciso, Alberto 2 Escher, Christine M. 2 Eshraghi, Homayoon 2 Frigerio, Roberto 2 Fu, Haiping 2 Grigorian, Sergey 2 Gross, Leonard 2 Gu, Weiqing 2 Ho, Pak Tung 2 Hornig, Gunnar 2 Horváth, Márton 2 Kappeler, Thomas 2 Karp, Lavi 2 Katsuda, Atsushi 2 Koiso, Norihito 2 Kong, Dexing 2 Kovalev, Alexei G. 2 Koytcheff, Robin 2 Kôzaki, Masanori 2 Kruglikov, Boris S. 2 Kurlin, Vitaliy 2 Lee, John M. 2 LeFloch, Philippe Gerard 2 Li, Xingxiao 2 McMaster, T. Brian M. 2 Melvin, Paul M. 2 Moroianu, Andrei 2 Muñoz Masqué, Jaime ...and 483 more Authors all top 5 Cited in 160 Serials 26 Journal of Geometry and Physics 21 The Journal of Geometric Analysis 20 Journal of Mathematical Physics 17 Transactions of the American Mathematical Society 15 Advances in Mathematics 15 Proceedings of the American Mathematical Society 14 Communications in Mathematical Physics 12 Annals of Global Analysis and Geometry 11 Duke Mathematical Journal 10 Differential Geometry and its Applications 9 Geometriae Dedicata 9 Mathematische Annalen 9 Mathematische Zeitschrift 9 Bulletin of the American Mathematical Society. New Series 8 Calculus of Variations and Partial Differential Equations 7 Inventiones Mathematicae 7 Journal of Functional Analysis 7 Journal of High Energy Physics 6 Journal of Mathematical Analysis and Applications 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Journal of Differential Equations 6 Geometric and Functional Analysis. GAFA 5 Journal of Computational Physics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Compositio Mathematica 5 Topology and its Applications 4 Archive for Rational Mechanics and Analysis 4 General Relativity and Gravitation 4 Annales de l’Institut Fourier 4 Michigan Mathematical Journal 4 Results in Mathematics 4 European Journal of Operational Research 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Algebraic & Geometric Topology 3 The Mathematical Intelligencer 3 Journal für die Reine und Angewandte Mathematik 3 Manuscripta Mathematica 3 Pacific Journal of Mathematics 3 Journal of the American Mathematical Society 3 Mathematical and Computer Modelling 3 International Journal of Mathematics 3 Journal of Mathematical Sciences (New York) 3 Science China. Mathematics 2 Classical and Quantum Gravity 2 Communications on Pure and Applied Mathematics 2 Israel Journal of Mathematics 2 Mathematical Notes 2 Reviews in Mathematical Physics 2 Czechoslovak Mathematical Journal 2 Journal of the Korean Mathematical Society 2 Bulletin of the Iranian Mathematical Society 2 Expositiones Mathematicae 2 Journal of Knot Theory and its Ramifications 2 Journal of Mathematical Imaging and Vision 2 Russian Mathematics 2 Electronic Research Announcements of the American Mathematical Society 2 Journal of Evolution Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Milan Journal of Mathematics 2 Japanese Journal of Mathematics. 3rd Series 2 Communications in Mathematics and Statistics 2 Analysis and Geometry in Metric Spaces 2 Annals of PDE 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 International Journal of Theoretical Physics 1 Journal of Statistical Physics 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Beiträge zur Algebra und Geometrie 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 American Journal of Mathematics 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Calcolo 1 Colloquium Mathematicum 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Journal of Approximation Theory 1 Journal of Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Kodai Mathematical Journal 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Quarterly of Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Numerical Analysis 1 Siberian Mathematical Journal 1 Tôhoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics ...and 60 more Serials all top 5 Cited in 49 Fields 302 Differential geometry (53-XX) 133 Global analysis, analysis on manifolds (58-XX) 108 Partial differential equations (35-XX) 43 Manifolds and cell complexes (57-XX) 40 Relativity and gravitational theory (83-XX) 30 Fluid mechanics (76-XX) 25 Quantum theory (81-XX) 19 Numerical analysis (65-XX) 17 Several complex variables and analytic spaces (32-XX) 17 Optics, electromagnetic theory (78-XX) 14 Topological groups, Lie groups (22-XX) 13 Algebraic topology (55-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Algebraic geometry (14-XX) 9 Mechanics of deformable solids (74-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Convex and discrete geometry (52-XX) 8 Mechanics of particles and systems (70-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Operations research, mathematical programming (90-XX) 6 Biology and other natural sciences (92-XX) 5 Potential theory (31-XX) 5 Operator theory (47-XX) 5 Computer science (68-XX) 4 Nonassociative rings and algebras (17-XX) 4 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 4 Ordinary differential equations (34-XX) 4 Geometry (51-XX) 4 Probability theory and stochastic processes (60-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Functional analysis (46-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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