Edit Profile (opens in new tab) Vinogradov, Aleksandr Mikhaĭlovich Compute Distance To: Compute Author ID: vinogradov.aleksandr-mikhailovich Published as: Vinogradov, A. M.; Vinogradov, Alexandre M.; Vinogradov, Alexandre; Vinogradov, A. more...less Further Spellings: Vinogradov, Alexandre Mikhailovich; Виноградов Александр Михайлович Homepage: https://diffiety.mccme.ru/curvita/amv.htm External Links: MGP · Wikidata · Math-Net.Ru · GND Member of Collective: Nestruev, Jet Documents Indexed: 91 Publications since 1958, including 4 Books 10 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 40 Co-Authors with 57 Joint Publications 818 Co-Co-Authors all top 5 Co-Authors 39 single-authored 12 Krasil’shchik, Iosif Semënovich 6 Vitagliano, Luca 6 Yumaguzhin, Valeriy A. 4 Lychagin, Valentin V. 4 Sparano, Giovanni 4 Vilasi, Gaetano 3 Gusyatnikova, V. N. 3 Kupershmidt, Boris A. 2 Catalano Ferraioli, Diego 2 De Paris, Alessandro 2 Delone, Boris Nikolaevich 2 Kushel’man, M. S. 2 Marmo, Giuseppe 2 Marvan, Michal 2 Samokhin, Alexey V. 2 Verbovetsky, Alexander Moiseevich 2 Vezzosi, Gabriele 2 Vinogradov, Michael M. 1 Alekseev, D. V. 1 Alekseevskiĭ, Dmitriĭ Vladimirovich 1 Alonso-Blanco, Ricardo J. 1 Astashov, Aleksandr Mikhaĭlovich 1 Bocharov, Alexei V. 1 Cabras, Antonella 1 Čap, Andreas 1 Chetverikov, Vladimir N. 1 Cortés, Jorge 1 Di Pietro, Christian 1 Duzhin, Sergeĭ Vasil’evich 1 Gessler, D. M. 1 Henneaux, Marc 1 Iziumova, A. Yu. 1 Khor’kova, Nina Grigor’evna 1 Kolář, Ivan 1 Kowalski, Oldřich 1 Landsberg, Joseph Montague 1 Linderov, M. L. 1 Lizzi, Fedele 1 Merson, D. L. 1 Michor, Peter Wolfram 1 Modugno, Marco 1 Moreno, Giovanni 1 Mubassarova, Virginiya Anatol’evna 1 Nestruev, Jet 1 Panteleev, Ivan Alekseevich 1 Plekhov, Oleg Anatol’evich 1 Prokhorov, A. E. 1 Rossi, Olga 1 Senashov, S. J. 1 Shen, Zhongmin 1 Slovák, Jan 1 Spanier, Edwin Henry 1 Titov, Vyacheslav S. 1 Torkhov, Yu. N. 1 Vshivkov, A. N. all top 5 Serials 13 Soviet Mathematics. Doklady 13 Acta Applicandae Mathematicae 10 Doklady Mathematics 7 Journal of Geometry and Physics 4 Journal of Mathematical Physics 4 Differential Geometry and its Applications 3 Russian Mathematical Surveys 2 Journal of Mathematical Analysis and Applications 2 Mathematical Notes 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Central European Journal of Mathematics 2 Translations of Mathematical Monographs 1 Acta Mechanica 1 Doklady Akademii Nauk SSSR 1 Matematicheskie Zametki 1 Physics Letters. B 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Soviet Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Rendiconti del Seminario Matematico 1 Soviet Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 Advanced Studies in Contemporary Mathematics (New York) 1 Contemporary Mathematics 1 Graduate Texts in Mathematics 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 54 Global analysis, analysis on manifolds (58-XX) 43 Partial differential equations (35-XX) 21 Differential geometry (53-XX) 17 Mechanics of particles and systems (70-XX) 12 Commutative algebra (13-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Quantum theory (81-XX) 8 General and overarching topics; collections (00-XX) 8 Nonassociative rings and algebras (17-XX) 8 Algebraic topology (55-XX) 7 Manifolds and cell complexes (57-XX) 4 Associative rings and algebras (16-XX) 4 Category theory; homological algebra (18-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Relativity and gravitational theory (83-XX) 3 Ordinary differential equations (34-XX) 3 Mechanics of deformable solids (74-XX) 2 Field theory and polynomials (12-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 81 Publications have been cited 1,028 times in 613 Documents Cited by ▼ Year ▼ Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations. Zbl 0692.35003Krasil’shchik, I. S.; Vinogradov, A. M. 101 1989 Geometry of jet spaces and nonlinear partial differential equations. Transl. from the Russian by A. B. Sosinskij. Zbl 0722.35001Krasil’shchik, I. S.; Lychagin, V. V.; Vinogradov, A. M. 84 1986 Local symmetries and conservation laws. Zbl 0534.58005Vinogradov, A. M. 67 1984 Nonlocal symmetries and the theory of coverings: An addendum to A. M. Vinogradov’s ’Local Symmetries and Conservation Laws’. Zbl 0547.58043Krasil’shchik, I. S.; Vinogradov, A. M. 58 1984 The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. II: The nonlinear theory. Zbl 0548.58015Vinogradov, A. M. 55 1984 The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. I: The linear theory. Zbl 0548.58014Vinogradov, A. M. 49 1984 Symmetries and conservation laws for differential equations of mathematical physics. Transl. from the Russian by A. M. Verbovetsky and I. S. Krasil’shchik. Zbl 0911.00032Bocharov, A. V.; Chetverikov, V. N.; Duzhin, S. V.; Khor’kova, N. G.; Samokhin, A. V.; Torkhov, Yu. N.; Verbovetsky, A. M. 43 1999 A spectral sequence associated with a nonlinear differential equation, and algebro-geometric foundations of Lagrangian field theory with constraints. Zbl 0406.58015Vinogradov, A. M. 31 1978 The local structure of \(n\)-Poisson and \(n\)-Jacobi manifolds. Zbl 0978.53126Marmo, G.; Vilasi, G.; Vinogradov, A. M. 31 1998 On the algebro-geometric foundations of Lagrangian field theory. Zbl 0403.58005Vinogradov, A. M. 30 1977 Introduction to the geometry of nonlinear differential equations. (Vvedenie v geometriyu nelinejnykh differentsial’nykh uravnenij). Zbl 0592.35002Vinogradov, A. M.; Krasil’shchik, I. S.; Lychagin, V. V. 28 1986 Symmetries and conservation laws of partial differential equations: Basic notions and results. Zbl 0692.35002Vinogradov, A. M. 26 1989 The structures of Hamiltonian mechanics. Zbl 0383.70020Vinogradov, A. M.; Kupershmidt, B. A. 25 1977 The logic algebra for the theory of linear differential operators. Zbl 0267.58013Vinogradov, A. M. 25 1972 Cohomological analysis of partial differential equations and secondary calculus. Transl. from the original Russian manuscript by Joseph Krasil’shchik. Zbl 1152.58308Vinogradov, A. M. 24 2001 Extensions of the Poisson bracket to differential forms and multi-vector fields. Zbl 0748.58008Cabras, A.; Vinogradov, A. M. 24 1992 Geometry of nonlinear differential equations. Zbl 0475.58025Vinogradov, A. M. 21 1981 Combination of Schouten and Nijenhuis brackets, cohomologies and superdifferential operators. Zbl 0712.58059Vinogradov, A. M. 17 1990 Basic ideas and concepts of differential geometry. Zbl 0735.53001Alekseev, D. V.; Vinogradov, A. M.; Lychagin, V. V. 17 1988 On multiple generalizations of Lie algebras and Poisson manifolds. Zbl 1074.17501Vinogradov, Alexandre; Vinogradov, Michael 16 1998 Basic ideas and notions from differential geometry. Zbl 0675.53001Alekseevskij, D. V.; Vinogradov, A. M.; Lychagin, V. V. 16 1988 \(n\)-ary Lie and associative algebras. Zbl 0928.17029Michor, P. W.; Vinogradov, A. M. 14 1996 What is the Hamiltonian formalism? Zbl 0327.70006Vinogradov, A. M.; Krasil’shchik, I. S. 14 1975 On the structure of Hamiltonian operators in field theory. Zbl 0611.58051Astashov, A. M.; Vinogradov, A. M. 12 1986 Multivalued solutions and a principle of classification of nonlinear differential equations. Zbl 0306.35003Vinogradov, A. M. 11 1973 Algebraic topology. (Algebraicheskaya topologiya.) Übersetzung aus dem Englischen von B. M. Pranova. Herausgegeben von A. M. Vinogradov. Zbl 0222.55001Spanier, Edwin H. 11 1971 Vacuum Einstein metrics with bidimensional Killing leaves. II: Global aspects. Zbl 1035.53099Sparano, G.; Vilasi, G.; Vinogradov, A. M. 10 2002 Vacuum Einstein metrics with bidimensional Killing leaves. I: Local aspects. Zbl 1033.53021Sparano, G.; Vilasi, G.; Vinogradov, A. M. 10 2002 A method of computing higher symmetries of nonlinear evolution equations, and nonlocal symmetries. Zbl 0498.35076Vinogradov, A. M.; Krasil’shchik, I. S. 8 1980 Introduction to secondary calculus. Zbl 0931.58021Vinogradov, Alexandre 7 1998 Symmetries and conservation laws of 2-dimensional ideal plasticity. Zbl 0623.73041Senashov, S. J.; Vinogradov, A. M. 7 1988 Scalar differential invariants, diffieties and characteristic classes. Zbl 0735.57012Vinogradov, A. M. 7 1991 Gravitational fields with a non-Abelian, bidimensional Lie algebra of symmetries. Zbl 0969.83525Sparano, G.; Vilasi, G.; Vinogradov, A. M. 6 2001 Graded multiple analogs of Lie algebras. Zbl 1020.17003Vinogradov, A. M.; Vinogradov, M. M. 6 2002 Eikonal type equations for geometrical singularities of solutions in field theory. Zbl 0819.58038Lizzi, F.; Marmo, G.; Sparano, G.; Vinogradov, A. M. 5 1994 Green formula and Legendre transformation. Zbl 1065.58009Alonso-Blanco, Ricardo J.; Vinogradov, Alexandre M. 5 2004 On the theory of nonlocal symmetries of nonlinear partial differential equations. Zbl 0604.58053Vinogradov, A. M.; Krasil’shchik, I. S. 5 1984 Differential invariants of generic hyperbolic Monge-Ampère equations. Zbl 1129.58015Marvan, Michal; Vinogradov, Alexandre M.; Yumaguzhin, Valery A. 5 2007 Ricci flat 4-metrics with bidimensional null orbits. Zbl 1110.53015Catalano Ferraioli, D.; Vinogradov, A. M. 5 2006 Hamiltonian theory of constrained impulsive motion. Zbl 1111.70013Cortés, Jorge; Vinogradov, Alexandre M. 5 2006 From symmetries of partial differential equations towards secondary (“quantized”) calculus. Zbl 0815.58028Vinogradov, A. M. 4 1994 Some variations on the notion of connection. Zbl 0817.53015Modugno, M.; Vinogradov, A. M. 4 1994 On the geometry of singular Lagrangians. Zbl 0984.37062Pugliese, F.; Vinogradov, A. M. 4 2000 Iterated differential forms: tensors. Zbl 1327.58001Vinogradov, A. M.; Vitagliano, L. 4 2006 The theory of higher infinitesimal symmetries of nonlinear partial differential equations. Zbl 0445.58030Vinogradov, A. M. 4 1979 Symmetries and conservation laws of Kadomtsev-Pogutse equations (Their computation and first applications). Zbl 0692.35087Gusyatnikova, V. N.; Samokhin, A. V.; Titov, V. S.; Vinogradov, A. M.; Yumaguzhin, V. A. 4 1989 Differential invariants of webs on two-dimensional manifolds. Zbl 0714.53019Vinogradov, A. M.; Yumaguzhin, V. A. 4 1990 Secondary differential operators. Zbl 0601.35007Gusyatnikova, V. N.; Vinogradov, A. M.; Yumaguzhin, V. A. 4 1985 Some homology systems associated with the differential calculus in commutative algebras. Zbl 0476.58028Vinogradov, A. M. 4 1979 Symmetries of partial differential equations. Conservation laws - applications - algorithms. Transl. from the Russian. Reprinted from Acta Applicandae Mathematicae 15, Nos. 1-2 and 16, Nos. 1-2 (1989). Zbl 0684.35002 4 1989 Symmetries of partial differential equations. Conservation laws - applications - algorithms. Part 1. Zbl 0667.00013 4 1989 Particle-like structure of Lie algebras. Zbl 1422.17008Vinogradov, A. M. 4 2017 Fat manifolds and linear connections. Zbl 1167.53001De Paris, Alessandro; Vinogradov, Alexandre 3 2009 Domains in infinite jet spaces: \({\mathcal C}\)-spectral sequences. Zbl 1154.58002Vinogradov, A. M.; Moreno, Giovanni 3 2007 Rational approximations to irrational numbers with bounded partial quotients. Zbl 0080.26502Vinogradov, A.; Delone, B.; Fuchs, D. 3 1958 Über den Zusammenhang zwischen den Lagrangeschen Klassen der Irrationalitäten mit begrenzten Teilnennern und den Markoffschen Klassen der extremen Formen. Zbl 0103.03304Delaunay, B. N.; Vinogradov, A. M. 3 1959 Particle-like structure of coaxial Lie algebras. Zbl 1422.17009Vinogradov, A. M. 3 2018 Scalar differential invariants and characteristic classes of homogeneous geometrical structures. Zbl 0814.57019Verbovetskij, A. M.; Vinogradov, A. M.; Gessler, D. M. 2 1992 Category of nonlinear differential equations. Zbl 0547.58005Vinogradov, A. M. 2 1984 Iterated differential forms: Riemannian geometry revisited. Zbl 1327.58002Vinogradov, A. M.; Vitagliano, L. 2 2006 Hamilton structures in field theory. Zbl 0421.70026Vinogradov, A. M. 2 1978 Scalar differential invariants of symplectic Monge-Ampère equations. Zbl 1252.58022De Paris, Alessandro; Vinogradov, Alexandre M. 2 2011 Infinitesimal Stokes’s formula for higher-order de Rham complexes. Zbl 0965.58003Vezzosi, Gabriele; Vinogradov, Alexandre M. 2 1997 Geometric singularities of solutions of nonlinear partial differential equations. Zbl 0631.58027Vinogradov, A. M. 2 1987 Geometry of inelastic collisions. Zbl 1192.70020Pugliese, F.; Vinogradov, A. M. 2 2002 Iterated differential forms. III: Integral calculus. Zbl 1154.58304Vinogradov, A. M.; Vitagliano, L. 2 2007 On Adam’s spectral sequence. Zbl 0097.16101Vinogradov, A. M. 2 1960 Some homotopic properties of the space of imbeddings of a circle into a sphere or a ball. Zbl 0145.43903Vinogradov, A. M. 2 1964 Secondary calculus and cohomological physics. Proceedings of a conference, Moscow, Russia, August 24–31, 1997. Zbl 0895.00065 1 1998 The structures of Hamiltonian mechanics. Zbl 0461.35077Vinogradov, A. M.; Kupershmidt, B. A. 1 1981 What is the Hamiltonian formalism? Zbl 0461.35078Vinogradov, A. M.; Krasil’shchik, I. S. 1 1981 Geometry of non-linear differential equations. Zbl 0461.58012Vinogradov, A. M. 1 1980 The category of differential equations and its significance for physics. Zbl 0558.35060Vinogradov, A. M. 1 1984 On higher order analogues of de Rham cohomology. Zbl 1051.13012Vezzosi, Gabriele; Vinogradov, Alexandre M. 1 2003 On geometry of second-order parabolic equations in two independent variables. Zbl 1227.35186Vinogradov, A. M. 1 2008 Differential invariants of generic hyperbolic Monge-Ampère equations. Zbl 1133.35407Vinogradov, A. M.; Marvan, Michal; Yumaguzhin, V. A. 1 2005 Symmetries of partial differential equations. Conservation laws - applications - algorithms. Part III. Zbl 0678.00015 1 1989 Gewisse homologische Systeme, die mit der Differentialrechnung in kommutativen Algebren zusammenhaengen. Zbl 0475.58024Vinogradov, A. M. 1 1979 Logic of differential calculus and the zoo of geometric structures. Zbl 1380.58004Vinogradov, Alexandre M. 1 2016 The generalized Smith conjecture in four dimensions. Zbl 0243.55004Vinogradov, A. M.; Kusel’man, M. S. 1 1972 Differential invariants of generic parabolic Monge-Ampère equations. Zbl 1245.53017Catalano Ferraioli, D.; Vinogradov, A. M. 1 2012 Particle-like structure of coaxial Lie algebras. Zbl 1422.17009Vinogradov, A. M. 3 2018 Particle-like structure of Lie algebras. Zbl 1422.17008Vinogradov, A. M. 4 2017 Logic of differential calculus and the zoo of geometric structures. Zbl 1380.58004Vinogradov, Alexandre M. 1 2016 Differential invariants of generic parabolic Monge-Ampère equations. Zbl 1245.53017Catalano Ferraioli, D.; Vinogradov, A. M. 1 2012 Scalar differential invariants of symplectic Monge-Ampère equations. Zbl 1252.58022De Paris, Alessandro; Vinogradov, Alexandre M. 2 2011 Fat manifolds and linear connections. Zbl 1167.53001De Paris, Alessandro; Vinogradov, Alexandre 3 2009 On geometry of second-order parabolic equations in two independent variables. Zbl 1227.35186Vinogradov, A. M. 1 2008 Differential invariants of generic hyperbolic Monge-Ampère equations. Zbl 1129.58015Marvan, Michal; Vinogradov, Alexandre M.; Yumaguzhin, Valery A. 5 2007 Domains in infinite jet spaces: \({\mathcal C}\)-spectral sequences. Zbl 1154.58002Vinogradov, A. M.; Moreno, Giovanni 3 2007 Iterated differential forms. III: Integral calculus. Zbl 1154.58304Vinogradov, A. M.; Vitagliano, L. 2 2007 Ricci flat 4-metrics with bidimensional null orbits. Zbl 1110.53015Catalano Ferraioli, D.; Vinogradov, A. M. 5 2006 Hamiltonian theory of constrained impulsive motion. Zbl 1111.70013Cortés, Jorge; Vinogradov, Alexandre M. 5 2006 Iterated differential forms: tensors. Zbl 1327.58001Vinogradov, A. M.; Vitagliano, L. 4 2006 Iterated differential forms: Riemannian geometry revisited. Zbl 1327.58002Vinogradov, A. M.; Vitagliano, L. 2 2006 Differential invariants of generic hyperbolic Monge-Ampère equations. Zbl 1133.35407Vinogradov, A. M.; Marvan, Michal; Yumaguzhin, V. A. 1 2005 Green formula and Legendre transformation. Zbl 1065.58009Alonso-Blanco, Ricardo J.; Vinogradov, Alexandre M. 5 2004 On higher order analogues of de Rham cohomology. Zbl 1051.13012Vezzosi, Gabriele; Vinogradov, Alexandre M. 1 2003 Vacuum Einstein metrics with bidimensional Killing leaves. II: Global aspects. Zbl 1035.53099Sparano, G.; Vilasi, G.; Vinogradov, A. M. 10 2002 Vacuum Einstein metrics with bidimensional Killing leaves. I: Local aspects. Zbl 1033.53021Sparano, G.; Vilasi, G.; Vinogradov, A. M. 10 2002 Graded multiple analogs of Lie algebras. Zbl 1020.17003Vinogradov, A. M.; Vinogradov, M. M. 6 2002 Geometry of inelastic collisions. Zbl 1192.70020Pugliese, F.; Vinogradov, A. M. 2 2002 Cohomological analysis of partial differential equations and secondary calculus. Transl. from the original Russian manuscript by Joseph Krasil’shchik. Zbl 1152.58308Vinogradov, A. M. 24 2001 Gravitational fields with a non-Abelian, bidimensional Lie algebra of symmetries. Zbl 0969.83525Sparano, G.; Vilasi, G.; Vinogradov, A. M. 6 2001 On the geometry of singular Lagrangians. Zbl 0984.37062Pugliese, F.; Vinogradov, A. M. 4 2000 Symmetries and conservation laws for differential equations of mathematical physics. Transl. from the Russian by A. M. Verbovetsky and I. S. Krasil’shchik. Zbl 0911.00032Bocharov, A. V.; Chetverikov, V. N.; Duzhin, S. V.; Khor’kova, N. G.; Samokhin, A. V.; Torkhov, Yu. N.; Verbovetsky, A. M. 43 1999 The local structure of \(n\)-Poisson and \(n\)-Jacobi manifolds. Zbl 0978.53126Marmo, G.; Vilasi, G.; Vinogradov, A. M. 31 1998 On multiple generalizations of Lie algebras and Poisson manifolds. Zbl 1074.17501Vinogradov, Alexandre; Vinogradov, Michael 16 1998 Introduction to secondary calculus. Zbl 0931.58021Vinogradov, Alexandre 7 1998 Secondary calculus and cohomological physics. Proceedings of a conference, Moscow, Russia, August 24–31, 1997. Zbl 0895.00065 1 1998 Infinitesimal Stokes’s formula for higher-order de Rham complexes. Zbl 0965.58003Vezzosi, Gabriele; Vinogradov, Alexandre M. 2 1997 \(n\)-ary Lie and associative algebras. Zbl 0928.17029Michor, P. W.; Vinogradov, A. M. 14 1996 Eikonal type equations for geometrical singularities of solutions in field theory. Zbl 0819.58038Lizzi, F.; Marmo, G.; Sparano, G.; Vinogradov, A. M. 5 1994 From symmetries of partial differential equations towards secondary (“quantized”) calculus. Zbl 0815.58028Vinogradov, A. M. 4 1994 Some variations on the notion of connection. Zbl 0817.53015Modugno, M.; Vinogradov, A. M. 4 1994 Extensions of the Poisson bracket to differential forms and multi-vector fields. Zbl 0748.58008Cabras, A.; Vinogradov, A. M. 24 1992 Scalar differential invariants and characteristic classes of homogeneous geometrical structures. Zbl 0814.57019Verbovetskij, A. M.; Vinogradov, A. M.; Gessler, D. M. 2 1992 Scalar differential invariants, diffieties and characteristic classes. Zbl 0735.57012Vinogradov, A. M. 7 1991 Combination of Schouten and Nijenhuis brackets, cohomologies and superdifferential operators. Zbl 0712.58059Vinogradov, A. M. 17 1990 Differential invariants of webs on two-dimensional manifolds. Zbl 0714.53019Vinogradov, A. M.; Yumaguzhin, V. A. 4 1990 Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations. Zbl 0692.35003Krasil’shchik, I. S.; Vinogradov, A. M. 101 1989 Symmetries and conservation laws of partial differential equations: Basic notions and results. Zbl 0692.35002Vinogradov, A. M. 26 1989 Symmetries and conservation laws of Kadomtsev-Pogutse equations (Their computation and first applications). Zbl 0692.35087Gusyatnikova, V. N.; Samokhin, A. V.; Titov, V. S.; Vinogradov, A. M.; Yumaguzhin, V. A. 4 1989 Symmetries of partial differential equations. Conservation laws - applications - algorithms. Transl. from the Russian. Reprinted from Acta Applicandae Mathematicae 15, Nos. 1-2 and 16, Nos. 1-2 (1989). Zbl 0684.35002 4 1989 Symmetries of partial differential equations. Conservation laws - applications - algorithms. Part 1. Zbl 0667.00013 4 1989 Symmetries of partial differential equations. Conservation laws - applications - algorithms. Part III. Zbl 0678.00015 1 1989 Basic ideas and concepts of differential geometry. Zbl 0735.53001Alekseev, D. V.; Vinogradov, A. M.; Lychagin, V. V. 17 1988 Basic ideas and notions from differential geometry. Zbl 0675.53001Alekseevskij, D. V.; Vinogradov, A. M.; Lychagin, V. V. 16 1988 Symmetries and conservation laws of 2-dimensional ideal plasticity. Zbl 0623.73041Senashov, S. J.; Vinogradov, A. M. 7 1988 Geometric singularities of solutions of nonlinear partial differential equations. Zbl 0631.58027Vinogradov, A. M. 2 1987 Geometry of jet spaces and nonlinear partial differential equations. Transl. from the Russian by A. B. Sosinskij. Zbl 0722.35001Krasil’shchik, I. S.; Lychagin, V. V.; Vinogradov, A. M. 84 1986 Introduction to the geometry of nonlinear differential equations. (Vvedenie v geometriyu nelinejnykh differentsial’nykh uravnenij). Zbl 0592.35002Vinogradov, A. M.; Krasil’shchik, I. S.; Lychagin, V. V. 28 1986 On the structure of Hamiltonian operators in field theory. Zbl 0611.58051Astashov, A. M.; Vinogradov, A. M. 12 1986 Secondary differential operators. Zbl 0601.35007Gusyatnikova, V. N.; Vinogradov, A. M.; Yumaguzhin, V. A. 4 1985 Local symmetries and conservation laws. Zbl 0534.58005Vinogradov, A. M. 67 1984 Nonlocal symmetries and the theory of coverings: An addendum to A. M. Vinogradov’s ’Local Symmetries and Conservation Laws’. Zbl 0547.58043Krasil’shchik, I. S.; Vinogradov, A. M. 58 1984 The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. II: The nonlinear theory. Zbl 0548.58015Vinogradov, A. M. 55 1984 The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. I: The linear theory. Zbl 0548.58014Vinogradov, A. M. 49 1984 On the theory of nonlocal symmetries of nonlinear partial differential equations. Zbl 0604.58053Vinogradov, A. M.; Krasil’shchik, I. S. 5 1984 Category of nonlinear differential equations. Zbl 0547.58005Vinogradov, A. M. 2 1984 The category of differential equations and its significance for physics. Zbl 0558.35060Vinogradov, A. M. 1 1984 Geometry of nonlinear differential equations. Zbl 0475.58025Vinogradov, A. M. 21 1981 The structures of Hamiltonian mechanics. Zbl 0461.35077Vinogradov, A. M.; Kupershmidt, B. A. 1 1981 What is the Hamiltonian formalism? Zbl 0461.35078Vinogradov, A. M.; Krasil’shchik, I. S. 1 1981 A method of computing higher symmetries of nonlinear evolution equations, and nonlocal symmetries. Zbl 0498.35076Vinogradov, A. M.; Krasil’shchik, I. S. 8 1980 Geometry of non-linear differential equations. Zbl 0461.58012Vinogradov, A. M. 1 1980 The theory of higher infinitesimal symmetries of nonlinear partial differential equations. Zbl 0445.58030Vinogradov, A. M. 4 1979 Some homology systems associated with the differential calculus in commutative algebras. Zbl 0476.58028Vinogradov, A. M. 4 1979 Gewisse homologische Systeme, die mit der Differentialrechnung in kommutativen Algebren zusammenhaengen. Zbl 0475.58024Vinogradov, A. M. 1 1979 A spectral sequence associated with a nonlinear differential equation, and algebro-geometric foundations of Lagrangian field theory with constraints. Zbl 0406.58015Vinogradov, A. M. 31 1978 Hamilton structures in field theory. Zbl 0421.70026Vinogradov, A. M. 2 1978 On the algebro-geometric foundations of Lagrangian field theory. Zbl 0403.58005Vinogradov, A. M. 30 1977 The structures of Hamiltonian mechanics. Zbl 0383.70020Vinogradov, A. M.; Kupershmidt, B. A. 25 1977 What is the Hamiltonian formalism? Zbl 0327.70006Vinogradov, A. M.; Krasil’shchik, I. S. 14 1975 Multivalued solutions and a principle of classification of nonlinear differential equations. Zbl 0306.35003Vinogradov, A. M. 11 1973 The logic algebra for the theory of linear differential operators. Zbl 0267.58013Vinogradov, A. M. 25 1972 The generalized Smith conjecture in four dimensions. Zbl 0243.55004Vinogradov, A. M.; Kusel’man, M. S. 1 1972 Algebraic topology. (Algebraicheskaya topologiya.) Übersetzung aus dem Englischen von B. M. Pranova. Herausgegeben von A. M. Vinogradov. Zbl 0222.55001Spanier, Edwin H. 11 1971 Some homotopic properties of the space of imbeddings of a circle into a sphere or a ball. Zbl 0145.43903Vinogradov, A. M. 2 1964 On Adam’s spectral sequence. Zbl 0097.16101Vinogradov, A. M. 2 1960 Über den Zusammenhang zwischen den Lagrangeschen Klassen der Irrationalitäten mit begrenzten Teilnennern und den Markoffschen Klassen der extremen Formen. Zbl 0103.03304Delaunay, B. N.; Vinogradov, A. M. 3 1959 Rational approximations to irrational numbers with bounded partial quotients. Zbl 0080.26502Vinogradov, A.; Delone, B.; Fuchs, D. 3 1958 all cited Publications top 5 cited Publications all top 5 Cited by 567 Authors 35 Vinogradov, Aleksandr Mikhaĭlovich 28 Morozov, Oleg I. 27 Krasil’shchik, Iosif Semënovich 20 Lychagin, Valentin V. 16 Vitolo, Raffaele F. 14 Vitagliano, Luca 13 Manno, Gianni 13 Yumaguzhin, Valeriy A. 12 Kruglikov, Boris S. 12 Popovych, Roman O. 11 Bibikov, Pavel Vitalievich 11 Chetverikov, Vladimir N. 11 Verbovetsky, Alexander Moiseevich 9 Marvan, Michal 9 Palese, Marcella 8 Bruzón, Maria Santos 8 Gandarias Núñez, Maria Luz 8 Moreno, Giovanni 8 Vilasi, Gaetano 7 Bai, Ruipu 7 Muñoz Masqué, Jaime 7 Rossi, Olga 7 Vojčák, Petr 6 Igonin, Sergeĭ Aleksandrovich 6 Khor’kova, Nina Grigor’evna 6 Sergyeyev, Artur 6 Sparano, Giovanni 6 Winterroth, Ekkehart 6 Zharinov, Victor Victorovich 5 Baran, Hynek 5 Gaeta, Giuseppe 5 Grigoriev, Maxim 5 Kac, Victor G. 5 Kaptsov, Oleg Viktorovich 5 Kersten, Paul H. M. 5 Marsden, Jerrold Eldon 5 Morando, Paola 5 Ratiu, Tudor Stefan 5 Saunders, David J. 5 Senashov, Sergeĭ Ivanovich 4 Anderson, Ian M. 4 Bluman, George W. 4 Catalano Ferraioli, Diego 4 Chen, Junchao 4 Chen, Yong 4 Duyunova, Anna Andreevna 4 Guha, Partha 4 Gusyatnikova, V. N. 4 Kara, Abdul Hamid 4 Kosmann-Schwarzbach, Yvette 4 Lévine, Jean 4 Mahomed, Fazal M. 4 Prástaro, Agostino 4 Reyes, Enrique G. 4 Sardanashvily, Gennadi A. 4 Stasheff, James D. 4 Tychkov, Sergey N. 3 Anco, Stephen C. 3 Barnich, Glenn 3 Bihlo, Alexander 3 Canarutto, Daniel 3 Cariñena, José F. 3 Castrillón López, Marco 3 Chen, Zhiqi 3 Cherepanova, Ol’ga N. 3 Cheviakov, Alexei F. 3 Chrastinová, Veronika 3 Cieśliński, Jan L. 3 De Sole, Alberto 3 Druzhkov, K. P. 3 Finley, James Daniel III 3 Fliess, Michel 3 Freire, Igor Leite 3 Grabowski, Janusz 3 Kiselev, Arthemy V. 3 Krishchenko, Alexander P. 3 Krupka, Demeter 3 Kushner, Alexei G. 3 Marmo, Giuseppe 3 Martin, Philippe 3 Monterde, Juan 3 Musilová, Jana 3 Oliveri, Francesco 3 Ollivier, François 3 Opanasenko, Stanislav 3 Pavlov, Maxim V. 3 Pugliese, Fabrizio 3 Rosenhaus, Vladimir 3 Rouchon, Pierre 3 Rubtsov, Vladimir Nikolaevich 3 Saccomandi, Giuseppe 3 Sahadevan, Ramajayam 3 Samokhin, Alexey V. 3 Savost’yanova, Irina Leonidovna 3 Sharapov, Alexey A. 3 Tryhuk, Václav 3 Tsyganov, Andreĭ Vladimirovich 3 Voronov, Theodore 3 Weinstein, Alan David 3 Xin, Xiangpeng ...and 467 more Authors all top 5 Cited in 144 Serials 79 Journal of Geometry and Physics 48 Journal of Mathematical Physics 47 Acta Applicandae Mathematicae 40 Differential Geometry and its Applications 24 Mathematical Notes 24 Theoretical and Mathematical Physics 19 Journal of Nonlinear Mathematical Physics 15 International Journal of Geometric Methods in Modern Physics 13 Journal of Mathematical Analysis and Applications 13 Lobachevskii Journal of Mathematics 10 Journal of Mathematical Sciences (New York) 10 Doklady Mathematics 9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 Letters in Mathematical Physics 6 Reports on Mathematical Physics 6 Journal of Soviet Mathematics 5 Communications in Nonlinear Science and Numerical Simulation 5 Analysis and Mathematical Physics 5 Journal of Siberian Federal University. Mathematics & Physics 4 Communications in Mathematical Physics 4 Nuclear Physics. B 4 Physics Letters. A 4 Annales de l’Institut Fourier 4 Applied Mathematics and Computation 4 Journal of Differential Equations 4 Journal of Pure and Applied Algebra 4 Physica D 4 Applied Mathematics Letters 4 Linear Algebra and its Applications 4 Russian Mathematics 4 Abstract and Applied Analysis 4 Differential Equations 4 Central European Journal of Mathematics 3 Physics Reports 3 Reviews in Mathematical Physics 3 Advances in Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Czechoslovak Mathematical Journal 3 Duke Mathematical Journal 3 Functional Analysis and its Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Nonlinear Dynamics 3 Annales Henri Poincaré 3 Nonlinear Analysis. Real World Applications 3 Frontiers of Mathematics in China 3 Journal of Geometric Mechanics 3 Communications in Mathematics 2 International Journal of Modern Physics A 2 Communications in Algebra 2 Computer Physics Communications 2 International Journal of Theoretical Physics 2 Physics Letters. B 2 Ukrainian Mathematical Journal 2 Mathematica Slovaca 2 Transactions of the American Mathematical Society 2 Systems & Control Letters 2 Chinese Annals of Mathematics. Series B 2 Journal of Symbolic Computation 2 Mathematical and Computer Modelling 2 European Journal of Applied Mathematics 2 Applied Mathematical Modelling 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Journal of Nonlinear Science 2 Russian Journal of Mathematical Physics 2 Discrete and Continuous Dynamical Systems 2 Fractional Calculus & Applied Analysis 2 Communications in Contemporary Mathematics 2 Journal of High Energy Physics 2 Advances in Geometry 2 Journal of Homotopy and Related Structures 1 Modern Physics Letters A 1 Archive for History of Exact Sciences 1 Bulletin of the Australian Mathematical Society 1 International Journal of Engineering Science 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Chaos, Solitons and Fractals 1 Acta Arithmetica 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Automatica 1 Demonstratio Mathematica 1 Geometriae Dedicata 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Number Theory 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Programming and Computer Software 1 Rendiconti del Seminario Matematico della Università di Padova 1 Siberian Mathematical Journal 1 Tokyo Journal of Mathematics 1 Advances in Applied Mathematics 1 Applied Mathematics and Mechanics. (English Edition) ...and 44 more Serials all top 5 Cited in 47 Fields 259 Partial differential equations (35-XX) 216 Global analysis, analysis on manifolds (58-XX) 151 Dynamical systems and ergodic theory (37-XX) 131 Differential geometry (53-XX) 96 Mechanics of particles and systems (70-XX) 73 Nonassociative rings and algebras (17-XX) 46 Ordinary differential equations (34-XX) 39 Quantum theory (81-XX) 31 Fluid mechanics (76-XX) 22 Associative rings and algebras (16-XX) 21 Relativity and gravitational theory (83-XX) 19 Topological groups, Lie groups (22-XX) 16 Algebraic topology (55-XX) 16 Mechanics of deformable solids (74-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Commutative algebra (13-XX) 12 Number theory (11-XX) 12 Algebraic geometry (14-XX) 12 Manifolds and cell complexes (57-XX) 11 Category theory; homological algebra (18-XX) 11 Computer science (68-XX) 9 Systems theory; control (93-XX) 7 Operator theory (47-XX) 6 Numerical analysis (65-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Optics, electromagnetic theory (78-XX) 3 Combinatorics (05-XX) 3 Field theory and polynomials (12-XX) 3 Group theory and generalizations (20-XX) 3 Difference and functional equations (39-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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