Edit Profile (opens in new tab) Vitolo, Raffaele F. Co-Author Distance Author ID: vitolo.raffaele-f Published as: Vitolo, Raffaele; Vitolo, R.; Vitolo, R. F.; Vitolo, Raffaele F. more...less Homepage: http://poincare.unisalento.it/vitolo/ External Links: ORCID · ResearchGate Documents Indexed: 74 Publications since 1991, including 1 Book and 5 Additional arXiv Preprints 4 Contributions as Editor Co-Authors: 63 Co-Authors with 64 Joint Publications 2,355 Co-Co-Authors all top 5 Co-Authors 13 single-authored 11 Manno, Gianni 8 Pavlov, Maxim V. 8 Saccomandi, Giuseppe 7 Lorenzoni, Paolo 7 Oliveri, Francesco 6 Modugno, Marco 6 Verbovetsky, Alexander Moiseevich 5 Krasil’shchik, Iosif Semënovich 5 Tejero Prieto, Carlos 4 Ferapontov, Evgeny Vladimirovich 4 Palese, Marcella 3 Casati, Matteo 3 Francaviglia, Mauro 3 Janyška, Josef 3 Vašíček, Jakub 3 Vergallo, Pierandrea 2 Kolář, Ivan 2 Rionero, Salvatore 2 Ruggeri, Tommaso 1 Astashov, A. M. 1 Astashova, Irina Viktorovna 1 Bocharov, Alexei V. 1 Bukhshtaber, Viktor Matveevich 1 Chetverikov, Vladimir N. 1 Fuchs, Dmitry Borisovich 1 Gaeta, Giuseppe 1 Giachetta, Giovanni 1 Khelemskiĭ, Aleksandr Yakovlevich 1 Igonin, Sergeĭ Aleksandrovich 1 Kac, Victor 1 Khor’kova, Nina Grigor’evna 1 Kosmann-Schwarzbach, Yvette 1 Krasil’shchik, Joseph 1 Krichever, Igor’ Moiseevich 1 Krishchenko, Alexander P. 1 Lando, Sergei K. 1 Levi-Civita, Tullio 1 Lychagin, Valentin V. 1 Mangiarotti, Luigi 1 Martina, Luigi 1 Marvan, Michal 1 Maslov, Viktor Pavlovich 1 Mishchenko, Aleksandr Sergeevich 1 Novikov, Sergeĭ Petrovich 1 Opanasenko, Stanislav 1 Pohjanpelto, Juha 1 Pucci, Edvige 1 Rubtsov, Vladimir Nikolaevich 1 Saller, Dirk 1 Samokhin, Alexey V. 1 Savoldi, Andrea 1 Schwarz, Albert S. 1 Sergyeyev, Artur 1 Shadrin, Sergey 1 Sosinskiĭ, Alekseĭ Bronislavovich 1 Stasheff, James D. 1 Valeri, Daniele 1 Vasil’ev, Viktor Anatol’evich 1 Verbovetskiy, Alexander 1 Vershik, Anatoliĭ Moiseevich 1 Veselov, Alexander Petrovich 1 Vinogradov, Michael M. 1 Vitagliano, Luca 1 Voronov, Theodore 1 Walcher, Sebastian all top 5 Serials 6 Journal of Geometry and Physics 6 Acta Applicandae Mathematicae 6 Journal of Physics A: Mathematical and Theoretical 4 Differential Geometry and its Applications 3 Letters in Mathematical Physics 3 Note di Matematica 2 Computer Physics Communications 2 Journal of Mathematical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Nonlinearity 2 Theoretical and Mathematical Physics 2 Archivum Mathematicum 2 Annales de l’Institut Henri Poincaré. Physique Théorique 1 General Relativity and Gravitation 1 International Journal of Engineering Science 1 Journal of Mathematical Analysis and Applications 1 Russian Mathematical Surveys 1 Czechoslovak Mathematical Journal 1 Studies in Applied Mathematics 1 IMRN. International Mathematics Research Notices 1 Applicable Algebra in Engineering, Communication and Computing 1 Fundamental’naya i Prikladnaya Matematika 1 Regular and Chaotic Dynamics 1 Journal of High Energy Physics 1 Nonlinear Analysis. Real World Applications 1 International Journal of Geometric Methods in Modern Physics 1 Texts & Monographs in Symbolic Computation all top 5 Fields 28 Global analysis, analysis on manifolds (58-XX) 25 Dynamical systems and ergodic theory (37-XX) 18 Partial differential equations (35-XX) 14 Differential geometry (53-XX) 13 Mechanics of particles and systems (70-XX) 13 Quantum theory (81-XX) 5 Ordinary differential equations (34-XX) 5 Relativity and gravitational theory (83-XX) 4 General and overarching topics; collections (00-XX) 4 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Fluid mechanics (76-XX) 1 Algebraic geometry (14-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 62 Publications have been cited 438 times in 229 Documents Cited by ▼ Year ▼ The symbolic computation of integrability structures for partial differential equations. Zbl 1407.68015 Krasil’shchik, Joseph; Verbovetskiy, Alexander; Vitolo, Raffaele 36 2017 Finite order variational bicomplexes. Zbl 0927.58008 Vitolo, Raffaele 19 1999 Projective-geometric aspects of homogeneous third-order Hamiltonian operators. Zbl 1321.37071 Ferapontov, E. V.; Pavlov, M. V.; Vitolo, R. F. 18 2014 A unified approach to computation of integrable structures. Zbl 1284.37052 Krasil’shchik, I. S.; Verbovetsky, A. M.; Vitolo, R. 17 2012 On differential equations characterized by their Lie point symmetries. Zbl 1115.58031 Manno, Gianni; Oliveri, Francesco; Vitolo, Raffaele 16 2007 Variational sequences. Zbl 1236.58029 Vitolo, R. 15 2008 Towards the classification of homogeneous third-order Hamiltonian operators. Zbl 1404.53016 Ferapontov, E. V.; Pavlov, M. V.; Vitolo, R. F. 15 2016 Symmetries in finite order variational sequences. Zbl 1006.58014 Francaviglia, Mauro; Palese, Marcella; Vitolo, Raffaele 14 2002 An algebraic approach to physical scales. Zbl 1208.15021 Janyška, Josef; Modugno, Marco; Vitolo, Raffaele 14 2010 On the mathematical and geometrical structure of the determining equations for shear waves in nonlinear isotropic incompressible elastodynamics. Zbl 1366.74031 Saccomandi, Giuseppe; Vitolo, Raffaele 13 2014 On the bi-Hamiltonian geometry of WDVV equations. Zbl 1332.37048 Pavlov, Maxim V.; Vitolo, Raffaele F. 12 2015 Systems of conservation laws with third-order Hamiltonian structures. Zbl 1392.37050 Ferapontov, Evgeny V.; Pavlov, Maxim V.; Vitolo, Raffaele F. 12 2018 Symmetries in covariant classical mechanics. Zbl 1050.70011 Saller, Dirk; Vitolo, Raffaele 11 2000 Integrability of Kupershmidt deformations. Zbl 1187.37091 Kersten, P. H. M.; Krasil’shchik, I. S.; Verbovetsky, A. M.; Vitolo, R. 11 2010 Differential equations uniquely determined by algebras of point symmetries. Zbl 1153.35007 Manno, G.; Oliveri, F.; Vitolo, R. 11 2007 Bi-Hamiltonian structures of KdV type. Zbl 1396.37073 Lorenzoni, P.; Savoldi, A.; Vitolo, R. 10 2018 Homogeneous Hamiltonian operators and the theory of coverings. Zbl 07341144 Vergallo, Pierandrea; Vitolo, Raffaele 10 2021 The Hessian and Jacobi morphisms for higher order calculus of variations. Zbl 1065.58010 Francaviglia, Mauro; Palese, Marcella; Vitolo, Raffaele 9 2005 On the Helmholtz operator for Euler morphisms. Zbl 1048.58012 Kolář, Ivan; Vitolo, Raffaele 9 2003 Hamiltonian structures for general PDEs. Zbl 1180.37092 Kersten, P.; Krasil’shchik, I. S.; Verbovetsky, A. M.; Vitolo, R. 9 2009 Computing with Hamiltonian operators. Zbl 07674845 Vitolo, R. 9 2019 Symmetries and conservation laws for the Karczewska-Rozmej-Rutkowski-Infeld equation. Zbl 1382.35014 Sergyeyev, A.; Vitolo, R. 8 2016 Geometric aspects of higher order variational principles on submanifolds. Zbl 1147.58004 Manno, Gianni; Vitolo, Raffaele 8 2008 Quantum structures in Einstein general relativity. Zbl 0977.83009 Vitolo, Raffaele 7 2000 Ordinary differential equations described by their Lie symmetry algebra. Zbl 1307.34061 Manno, Gianni; Oliveri, Francesco; Saccomandi, Giuseppe; Vitolo, Raffaele 7 2014 Variational multivectors and brackets in the geometry of jet spaces. Zbl 1122.17021 Igonin, Sergei; Verbovetsky, Alexander; Vitolo, Raffaele 7 2004 Three computational approaches to weakly nonlocal Poisson brackets. Zbl 1478.37066 Casati, Matteo; Lorenzoni, Paolo; Vitolo, Raffaele 7 2020 On different geometric formulations of Lagrangian formalism. Zbl 0930.58001 Vitolo, Raffaele 5 1999 Quantum structures in Galilei general relativity. Zbl 0965.81038 Vitolo, Raffaele 5 1999 On a class of third-order nonlocal Hamiltonian operators. Zbl 1420.37049 Casati, M.; Ferapontov, E. V.; Pavlov, M. V.; Vitolo, R. F. 5 2019 A covariant approach to the quantization of a rigid body. Zbl 1137.81023 Modugno, Marco; Prieto, Carlos Tejero; Vitolo, Raffaele 5 2008 Bogus transformations in mechanics of continua. Zbl 1423.74137 Pucci, Edvige; Saccomandi, Giuseppe; Vitolo, Raffaele 5 2016 Weakly nonlocal Poisson brackets, Schouten brackets and supermanifolds. Zbl 1439.37071 Lorenzoni, P.; Vitolo, R. 5 2020 Gauge invariance, charge conservation, and variational principles. Zbl 1146.58008 Manno, Gianni; Pohjanpelto, Juha; Vitolo, Raffaele 5 2008 Bi-Hamiltonian structure of the oriented associativity equation. Zbl 1509.37091 Pavlov, Maxim V.; Vitolo, Raffaele F. 5 2019 Weakly nonlocal Poisson brackets: tools, examples, computations. Zbl 07699260 Casati, M.; Lorenzoni, P.; Valeri, D.; Vitolo, R. 5 2022 Integrable structures for a generalized Monge-Ampère equation. Zbl 1417.37238 Verbovetsky, A. M.; Vitolo, R.; Kersten, P.; Krasil’shchik, I. S. 4 2012 Absolute contact differentiation on submanifolds of Cartan spaces. Zbl 1186.58004 Kolář, Ivan; Vitolo, Raffaele 4 2010 Projective geometry of homogeneous second-order Hamiltonian operators. Zbl 1537.37079 Vergallo, Pierandrea; Vitolo, Raffaele 4 2023 WDVV equations and invariant bi-Hamiltonian formalism. Zbl 1469.81033 Vašíček, J.; Vitolo, R. 4 2021 Variational sequences on finite order jets of submanifolds. Zbl 1037.58002 Manno, Gianni; Vitolo, Raffaele 3 2001 Comparison between geometric quantisation and covariant quantum mechanics. Zbl 1213.81150 Modugno, Marco; Tejero Prieto, Carlos; Vitolo, Raffaele 3 2000 On a class of polynomial Lagrangians. Zbl 1002.58003 Palese, Marcella; Vitolo, Raffaele 3 2001 Finite-order formulation of Vinogradov’s \({\mathcal C}\)-spectral sequence. Zbl 1008.58006 Vitolo, Raffaele 3 2002 Spherical symmetry in classical and quantum Galilei general relativity. Zbl 0854.53071 Vitolo, Raffaele 3 1996 On an inverse problem in group analysis of PDE’s: Lie-remarkable equations. Zbl 1345.35006 Oliveri, Francesco; Manno, Giovanni; Vitolo, Raffaele 3 2006 The geometry of Newton’s law and rigid systems. Zbl 1164.70014 Modugno, Marco; Vitolo, Raffaele 3 2007 On the characterization of infinitesimal symmetries of the relativistic phase space. Zbl 1339.70036 Janyška, Josef; Vitolo, Raffaele 3 2012 Null Lagrangians for nematic elastomers. Zbl 1073.35051 Vitolo, R.; Saccomandi, G. 2 2004 Superpotentials in variational sequences. Zbl 0953.58015 Francaviglia, M.; Palese, M.; Vitolo, R. 2 1999 A new infinite order formulation of variational sequences. Zbl 0970.58002 Vitolo, Raffaele 2 1998 On the geometry of the energy operator in quantum mechanics. Zbl 1317.53122 Prieto, Carlos Tejero; Vitolo, Raffaele 2 2014 Geometric aspects of the quantization of a rigid body. Zbl 1183.81091 Modugno, M.; Prieto, C. Tejero; Vitolo, R. 2 2009 A translation of the T. Levi-Civita paper “Interpretazione gruppale degli integrali di un sistema canonico” (Rend. Acc. Lincei, 1899, s. \(3^{\text a}\), vol. VII, pp. 235–238). Zbl 1273.01034 Saccomandi, Giuseppe; Vitolo, Raffaele 2 2012 Remarks on the Lagrangian representation of bi-Hamiltonian equations. Zbl 1358.37107 Pavlov, M. V.; Vitolo, R. F. 2 2017 Quantizing a rigid body. Zbl 0976.81020 Vitolo, Raffaele 1 1999 Relativistic mechanics, cosympletic manifolds and symmetries. Zbl 1195.83069 Vitolo, Raffaele; Manno, Gianni 1 2005 Some aspects of variational sequences in mechanics. Zbl 0863.58001 Vitolo, Raffaele 1 1996 On the correspondence between differential equations and symmetry algebras. Zbl 1158.35310 Oliveri, F.; Manno, G.; Vitolo, R. 1 2008 The Einstein-Yang-Mills equations. Zbl 0724.53061 Giachetta, Giovanni; Mangiarotti, Luigi; Vitolo, Raffaele 1 1991 Miura-reciprocal transformations and localizable Poisson pencils. Zbl 1535.37086 Lorenzoni, P.; Shadrin, S.; Vitolo, R. 1 2024 WDVV equations: symbolic computations of Hamiltonian operators. Zbl 1508.37092 Vašíček, Jakub; Vitolo, Raffaele 1 2022 Miura-reciprocal transformations and localizable Poisson pencils. Zbl 1535.37086 Lorenzoni, P.; Shadrin, S.; Vitolo, R. 1 2024 Projective geometry of homogeneous second-order Hamiltonian operators. Zbl 1537.37079 Vergallo, Pierandrea; Vitolo, Raffaele 4 2023 Weakly nonlocal Poisson brackets: tools, examples, computations. Zbl 07699260 Casati, M.; Lorenzoni, P.; Valeri, D.; Vitolo, R. 5 2022 WDVV equations: symbolic computations of Hamiltonian operators. Zbl 1508.37092 Vašíček, Jakub; Vitolo, Raffaele 1 2022 Homogeneous Hamiltonian operators and the theory of coverings. Zbl 07341144 Vergallo, Pierandrea; Vitolo, Raffaele 10 2021 WDVV equations and invariant bi-Hamiltonian formalism. Zbl 1469.81033 Vašíček, J.; Vitolo, R. 4 2021 Three computational approaches to weakly nonlocal Poisson brackets. Zbl 1478.37066 Casati, Matteo; Lorenzoni, Paolo; Vitolo, Raffaele 7 2020 Weakly nonlocal Poisson brackets, Schouten brackets and supermanifolds. Zbl 1439.37071 Lorenzoni, P.; Vitolo, R. 5 2020 Computing with Hamiltonian operators. Zbl 07674845 Vitolo, R. 9 2019 On a class of third-order nonlocal Hamiltonian operators. Zbl 1420.37049 Casati, M.; Ferapontov, E. V.; Pavlov, M. V.; Vitolo, R. F. 5 2019 Bi-Hamiltonian structure of the oriented associativity equation. Zbl 1509.37091 Pavlov, Maxim V.; Vitolo, Raffaele F. 5 2019 Systems of conservation laws with third-order Hamiltonian structures. Zbl 1392.37050 Ferapontov, Evgeny V.; Pavlov, Maxim V.; Vitolo, Raffaele F. 12 2018 Bi-Hamiltonian structures of KdV type. Zbl 1396.37073 Lorenzoni, P.; Savoldi, A.; Vitolo, R. 10 2018 The symbolic computation of integrability structures for partial differential equations. Zbl 1407.68015 Krasil’shchik, Joseph; Verbovetskiy, Alexander; Vitolo, Raffaele 36 2017 Remarks on the Lagrangian representation of bi-Hamiltonian equations. Zbl 1358.37107 Pavlov, M. V.; Vitolo, R. F. 2 2017 Towards the classification of homogeneous third-order Hamiltonian operators. Zbl 1404.53016 Ferapontov, E. V.; Pavlov, M. V.; Vitolo, R. F. 15 2016 Symmetries and conservation laws for the Karczewska-Rozmej-Rutkowski-Infeld equation. Zbl 1382.35014 Sergyeyev, A.; Vitolo, R. 8 2016 Bogus transformations in mechanics of continua. Zbl 1423.74137 Pucci, Edvige; Saccomandi, Giuseppe; Vitolo, Raffaele 5 2016 On the bi-Hamiltonian geometry of WDVV equations. Zbl 1332.37048 Pavlov, Maxim V.; Vitolo, Raffaele F. 12 2015 Projective-geometric aspects of homogeneous third-order Hamiltonian operators. Zbl 1321.37071 Ferapontov, E. V.; Pavlov, M. V.; Vitolo, R. F. 18 2014 On the mathematical and geometrical structure of the determining equations for shear waves in nonlinear isotropic incompressible elastodynamics. Zbl 1366.74031 Saccomandi, Giuseppe; Vitolo, Raffaele 13 2014 Ordinary differential equations described by their Lie symmetry algebra. Zbl 1307.34061 Manno, Gianni; Oliveri, Francesco; Saccomandi, Giuseppe; Vitolo, Raffaele 7 2014 On the geometry of the energy operator in quantum mechanics. Zbl 1317.53122 Prieto, Carlos Tejero; Vitolo, Raffaele 2 2014 A unified approach to computation of integrable structures. Zbl 1284.37052 Krasil’shchik, I. S.; Verbovetsky, A. M.; Vitolo, R. 17 2012 Integrable structures for a generalized Monge-Ampère equation. Zbl 1417.37238 Verbovetsky, A. M.; Vitolo, R.; Kersten, P.; Krasil’shchik, I. S. 4 2012 On the characterization of infinitesimal symmetries of the relativistic phase space. Zbl 1339.70036 Janyška, Josef; Vitolo, Raffaele 3 2012 A translation of the T. Levi-Civita paper “Interpretazione gruppale degli integrali di un sistema canonico” (Rend. Acc. Lincei, 1899, s. \(3^{\text a}\), vol. VII, pp. 235–238). Zbl 1273.01034 Saccomandi, Giuseppe; Vitolo, Raffaele 2 2012 An algebraic approach to physical scales. Zbl 1208.15021 Janyška, Josef; Modugno, Marco; Vitolo, Raffaele 14 2010 Integrability of Kupershmidt deformations. Zbl 1187.37091 Kersten, P. H. M.; Krasil’shchik, I. S.; Verbovetsky, A. M.; Vitolo, R. 11 2010 Absolute contact differentiation on submanifolds of Cartan spaces. Zbl 1186.58004 Kolář, Ivan; Vitolo, Raffaele 4 2010 Hamiltonian structures for general PDEs. Zbl 1180.37092 Kersten, P.; Krasil’shchik, I. S.; Verbovetsky, A. M.; Vitolo, R. 9 2009 Geometric aspects of the quantization of a rigid body. Zbl 1183.81091 Modugno, M.; Prieto, C. Tejero; Vitolo, R. 2 2009 Variational sequences. Zbl 1236.58029 Vitolo, R. 15 2008 Geometric aspects of higher order variational principles on submanifolds. Zbl 1147.58004 Manno, Gianni; Vitolo, Raffaele 8 2008 A covariant approach to the quantization of a rigid body. Zbl 1137.81023 Modugno, Marco; Prieto, Carlos Tejero; Vitolo, Raffaele 5 2008 Gauge invariance, charge conservation, and variational principles. Zbl 1146.58008 Manno, Gianni; Pohjanpelto, Juha; Vitolo, Raffaele 5 2008 On the correspondence between differential equations and symmetry algebras. Zbl 1158.35310 Oliveri, F.; Manno, G.; Vitolo, R. 1 2008 On differential equations characterized by their Lie point symmetries. Zbl 1115.58031 Manno, Gianni; Oliveri, Francesco; Vitolo, Raffaele 16 2007 Differential equations uniquely determined by algebras of point symmetries. Zbl 1153.35007 Manno, G.; Oliveri, F.; Vitolo, R. 11 2007 The geometry of Newton’s law and rigid systems. Zbl 1164.70014 Modugno, Marco; Vitolo, Raffaele 3 2007 On an inverse problem in group analysis of PDE’s: Lie-remarkable equations. Zbl 1345.35006 Oliveri, Francesco; Manno, Giovanni; Vitolo, Raffaele 3 2006 The Hessian and Jacobi morphisms for higher order calculus of variations. Zbl 1065.58010 Francaviglia, Mauro; Palese, Marcella; Vitolo, Raffaele 9 2005 Relativistic mechanics, cosympletic manifolds and symmetries. Zbl 1195.83069 Vitolo, Raffaele; Manno, Gianni 1 2005 Variational multivectors and brackets in the geometry of jet spaces. Zbl 1122.17021 Igonin, Sergei; Verbovetsky, Alexander; Vitolo, Raffaele 7 2004 Null Lagrangians for nematic elastomers. Zbl 1073.35051 Vitolo, R.; Saccomandi, G. 2 2004 On the Helmholtz operator for Euler morphisms. Zbl 1048.58012 Kolář, Ivan; Vitolo, Raffaele 9 2003 Symmetries in finite order variational sequences. Zbl 1006.58014 Francaviglia, Mauro; Palese, Marcella; Vitolo, Raffaele 14 2002 Finite-order formulation of Vinogradov’s \({\mathcal C}\)-spectral sequence. Zbl 1008.58006 Vitolo, Raffaele 3 2002 Variational sequences on finite order jets of submanifolds. Zbl 1037.58002 Manno, Gianni; Vitolo, Raffaele 3 2001 On a class of polynomial Lagrangians. Zbl 1002.58003 Palese, Marcella; Vitolo, Raffaele 3 2001 Symmetries in covariant classical mechanics. Zbl 1050.70011 Saller, Dirk; Vitolo, Raffaele 11 2000 Quantum structures in Einstein general relativity. Zbl 0977.83009 Vitolo, Raffaele 7 2000 Comparison between geometric quantisation and covariant quantum mechanics. Zbl 1213.81150 Modugno, Marco; Tejero Prieto, Carlos; Vitolo, Raffaele 3 2000 Finite order variational bicomplexes. Zbl 0927.58008 Vitolo, Raffaele 19 1999 On different geometric formulations of Lagrangian formalism. Zbl 0930.58001 Vitolo, Raffaele 5 1999 Quantum structures in Galilei general relativity. Zbl 0965.81038 Vitolo, Raffaele 5 1999 Superpotentials in variational sequences. Zbl 0953.58015 Francaviglia, M.; Palese, M.; Vitolo, R. 2 1999 Quantizing a rigid body. Zbl 0976.81020 Vitolo, Raffaele 1 1999 A new infinite order formulation of variational sequences. Zbl 0970.58002 Vitolo, Raffaele 2 1998 Spherical symmetry in classical and quantum Galilei general relativity. Zbl 0854.53071 Vitolo, Raffaele 3 1996 Some aspects of variational sequences in mechanics. Zbl 0863.58001 Vitolo, Raffaele 1 1996 The Einstein-Yang-Mills equations. Zbl 0724.53061 Giachetta, Giovanni; Mangiarotti, Luigi; Vitolo, Raffaele 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 192 Authors 33 Vitolo, Raffaele F. 21 Morozov, Oleg I. 15 Palese, Marcella 11 Krasil’shchik, Iosif Semënovich 11 Winterroth, Ekkehart 10 Canarutto, Daniel 10 Sergyeyev, Artur 8 Manno, Gianni 8 Saccomandi, Giuseppe 8 Saunders, David J. 7 Francaviglia, Mauro 7 Oliveri, Francesco 6 Freire, Igor Leite 6 Janyška, Josef 6 Krupka, Demeter 6 Lorenzoni, Paolo 6 Modugno, Marco 6 Pavlov, Maxim V. 6 Urban, Zbyněk 6 Vergallo, Pierandrea 5 Ferapontov, Evgeny Vladimirovich 5 Tejero Prieto, Carlos 5 Vašíček, Jakub 5 Verbovetsky, Alexander Moiseevich 4 Ferraris, Marco 4 Gorgone, Matteo 4 Liu, Siqi 4 Popovych, Roman O. 4 Vojčák, Petr 4 Zhang, Youjin 3 Casati, Matteo 3 Kolář, Ivan 3 Leach, Peter Gavin Lawrence 3 Saller, Dirk 3 Vergori, Luigi 3 Volná, Jana 2 Alekseevskiĭ, Dmitriĭ Vladimirovich 2 Andriopoulos, Kostis 2 Bihlo, Alexander 2 Brajerčík, Ján 2 Crampin, Mike 2 da Silva, Priscila Leal 2 Dimas, Stelios 2 Du, Dianlou 2 Holba, Pavel 2 Konyaev, Andreĭ Yu. 2 Kruglikov, Boris S. 2 Lelito, Aleksandra 2 Mahomed, Fazal M. 2 Moreno, Giovanni 2 Musilová, Jana 2 Naz, Rehana 2 Opanasenko, Stanislav 2 Prykarpatsky, Anatoliy Karolevych 2 Rogers, Colin 2 Rossi, Olga 2 Savoldi, Andrea 2 Sheftel, Mikhail B. 2 Wang, Zhe 2 Yang, Xiao 2 Yao, Yuqin 2 Yazıcı, Devrim 2 Zeng, Yunbo 1 Accornero, Luca 1 Agafonov, Sergey I. 1 Ahmetolan, Semra 1 Amtout, Tarik 1 Anderson, Ian M. 1 Apostol, Marian 1 Bai, Tonglaga 1 Baran, Hynek 1 Basak, Nirupam 1 Bibikov, Pavel Vitalievich 1 Bolsinov, Alexey V. 1 Bonfiglioli, Andrea 1 Boyko, Vyacheslav M. 1 Bozhkov, Yuri Dimitrov 1 Caudrelier, Vincent 1 Chang, Jen-Hsu 1 Chaolu, Temuer 1 Chaudhry, Azam 1 Cheikhi, Adil 1 Cheng, Wenguang 1 Chiaffredo, Federico 1 Chmielowiec, Witold 1 Chockalingam, Sriram P. 1 Christov, Ognyan 1 Cimmelli, Vito Antonio 1 Cirillo, Emilio Nicola Maria 1 Dafinger, Markus 1 Davachi, Niyousha 1 De Sole, Alberto 1 Dell’Atti, Marta 1 Demirci, Ali 1 Destrade, Michel 1 El Jarroudi, Mustapha 1 Er-Riani, Mustapha 1 Fatibene, Lorenzo 1 Fels, Mark E. 1 Fesser, Dirk ...and 92 more Authors all top 5 Cited in 74 Serials 28 Journal of Geometry and Physics 20 International Journal of Geometric Methods in Modern Physics 15 Journal of Mathematical Physics 14 Differential Geometry and its Applications 8 Reports on Mathematical Physics 8 Acta Applicandae Mathematicae 6 Journal of Physics A: Mathematical and Theoretical 5 Journal of Mathematical Analysis and Applications 5 Letters in Mathematical Physics 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Analysis and Mathematical Physics 5 Communications in Mathematics 4 Physics Letters. A 4 Wave Motion 4 Journal of Differential Equations 4 Communications in Nonlinear Science and Numerical Simulation 4 Lobachevskii Journal of Mathematics 3 Communications in Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Applied Mathematics Letters 3 Annales Henri Poincaré 3 Journal of Nonlinear Mathematical Physics 2 Computer Physics Communications 2 Nonlinearity 2 Theoretical and Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Ricerche di Matematica 2 Studies in Applied Mathematics 2 Physica D 2 Journal of Mathematical Chemistry 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series S 1 Acta Mechanica 1 International Journal of Engineering Science 1 Journal of the Mechanics and Physics of Solids 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Applied Mathematics and Computation 1 Archivum Mathematicum 1 Czechoslovak Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Geometry 1 Manuscripta Mathematica 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 The Journal of Geometric Analysis 1 Journal of Elasticity 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Applicable Algebra in Engineering, Communication and Computing 1 Russian Mathematics 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Journal of Lie Theory 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Mathematics and Mechanics of Solids 1 Mathematical Physics, Analysis and Geometry 1 European Journal of Mechanics. B. Fluids 1 Journal of High Energy Physics 1 Qualitative Theory of Dynamical Systems 1 Advances in Geometry 1 Journal of Applied Mathematics 1 Nonlinear Dynamics and Systems Theory 1 Communications on Pure and Applied Analysis 1 Central European Journal of Mathematics 1 Theoretical and Applied Mechanics 1 Frontiers of Mathematics in China 1 Japanese Journal of Mathematics. 3rd Series 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 Bollettino dell’Unione Matematica Italiana 1 Mathematics in Engineering 1 La Matematica all top 5 Cited in 35 Fields 96 Partial differential equations (35-XX) 87 Dynamical systems and ergodic theory (37-XX) 74 Global analysis, analysis on manifolds (58-XX) 42 Mechanics of particles and systems (70-XX) 40 Differential geometry (53-XX) 25 Quantum theory (81-XX) 14 Nonassociative rings and algebras (17-XX) 12 Ordinary differential equations (34-XX) 12 Algebraic topology (55-XX) 12 Mechanics of deformable solids (74-XX) 9 Relativity and gravitational theory (83-XX) 7 Algebraic geometry (14-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Fluid mechanics (76-XX) 6 Topological groups, Lie groups (22-XX) 3 Group theory and generalizations (20-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year