Edit Profile (opens in new tab) Vilasi, Gaetano Co-Author Distance Author ID: vilasi.gaetano Published as: Vilasi, Gaetano; Vilasi, G. Documents Indexed: 53 Publications since 1982, including 3 Books 6 Contributions as Editor Co-Authors: 29 Co-Authors with 50 Joint Publications 573 Co-Co-Authors all top 5 Co-Authors 9 single-authored 16 Marmo, Giuseppe 11 Sparano, Giovanni 8 Canfora, Fabrizio 8 Gerdzhikov, Vladimir Stefanov 6 De Filippo, Sergio 6 Kyuldjiev, Assen V. 6 Parisi, Luca 5 Landi, Giovanni 5 Yoshioka, Akira 4 Canonico, Rosangela 4 Vinogradov, Aleksandr Mikhaĭlovich 4 Yanovski, Alexandar Borissov 3 Lambiase, Gaetano 3 Mladenov, Ivaĭlo M. 3 Vilasi, Silvia 1 Busiello, G. 1 De Cesare, Luigi 1 Di Stasio, Pasquale 1 Esposito, Giampiero 1 Giovanni Sparano, G. 1 Kanazawa, Tomoyo 1 Lizzi, Fedele 1 Marinaro, Maria 1 Radicella, Ninfa 1 Rotondaro, Giovanni 1 Salerno, Mario 1 Scarpetta, Gaetano 1 Vitale, Paola 1 Vitale, Patrizia all top 5 Serials 4 Classical and Quantum Gravity 4 Physics Letters. B 4 International Journal of Geometric Methods in Modern Physics 4 Journal of Geometry and Symmetry in Physics 3 Differential Geometry and its Applications 3 Geometry, Integrability and Quantization 2 Modern Physics Letters A 2 Letters in Mathematical Physics 2 Journal of Geometry and Physics 2 Journal of Physics A: Mathematical and General 2 Lecture Notes in Physics 1 International Journal of Modern Physics B 1 Journal of Mathematical Physics 1 Theoretical and Mathematical Physics 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Journal of Nonlinear Mathematical Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 AIP Conference Proceedings all top 5 Fields 27 Relativity and gravitational theory (83-XX) 22 Dynamical systems and ergodic theory (37-XX) 17 Differential geometry (53-XX) 12 Quantum theory (81-XX) 11 Mechanics of particles and systems (70-XX) 7 Partial differential equations (35-XX) 5 General and overarching topics; collections (00-XX) 5 Nonassociative rings and algebras (17-XX) 3 Topological groups, Lie groups (22-XX) 3 Astronomy and astrophysics (85-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 1 Number theory (11-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 179 times in 136 Documents Cited by ▼ Year ▼ Integrable Hamiltonian hierarchies. Spectral and geometric methods. Zbl 1167.37001Gerdjikov, Vladimir Stefanov; Vilasi, Gaetano; Yanovski, Alexandar Borissov 43 2008 The local structure of \(n\)-Poisson and \(n\)-Jacobi manifolds. Zbl 0978.53126Marmo, G.; Vilasi, G.; Vinogradov, A. M. 32 1998 Recursion operators: Meaning and existence for completely integrable systems. Zbl 0801.58020Landi, G.; Marmo, G.; Vilasi, G. 12 1994 Vacuum Einstein metrics with bidimensional Killing leaves. I: Local aspects. Zbl 1033.53021Sparano, G.; Vilasi, G.; Vinogradov, A. M. 10 2002 Vacuum Einstein metrics with bidimensional Killing leaves. II: Global aspects. Zbl 1035.53099Sparano, G.; Vilasi, G.; Vinogradov, A. M. 10 2002 A geometrical approach to the integrability of soliton equations. Zbl 0586.35087De Filippo, S.; Salerno, M.; Vilasi, G. 7 1985 Gravitational fields with a non-Abelian, bidimensional Lie algebra of symmetries. Zbl 0969.83525Sparano, G.; Vilasi, G.; Vinogradov, A. M. 6 2001 Nonlinear gravitational waves and their polarization. Zbl 0998.83022Canfora, F.; Vilasi, G.; Vitale, P. 6 2002 Tensor fields defining a tangent bundle structure. Zbl 0752.58010de Filippo, Sergio; Landi, Giovanni; Marmo, Giuseppe; Vilasi, Gaetano 5 1989 Hamiltonian dynamics. Zbl 0980.37001Vilasi, Gaetano 5 2001 Noncommutative integrability and recursion operators. Zbl 0967.37034Giovanni Sparano, G.; Vilasi, Gaetano 5 2000 Remarks on the complete integrability of dynamical systems with fermionic variables. Zbl 0769.58031Landi, G.; Marmo, G.; Vilasi, G. 4 1992 Integrable Hamiltonian hierarchies. Spectral and geometric methods. Reprint of the 2008 hardback edition. Zbl 1293.37002Gerdjikov, Vladimir Stefanov; Vilasi, Gaetano; Yanovski, Alexandar Borissov 4 2010 A generalized reduction procedure for dynamical systems. Zbl 1020.37570Landi, G.; Marmo, G.; Sparano, G.; Vilasi, G. 3 1991 Construction of real forms of complexified Hamiltonian dynamical systems. Zbl 1053.37031Gerdjikov, V. S.; Kyuldjiev, A.; Marmo, G.; Vilasi, G. 3 2003 Geometrical aspects of mixed torsionless tensor fields. Zbl 1112.53018Rotondaro, G.; Sparano, G.; Vilasi, G. 3 2006 On the gravity of light. Zbl 1226.83017Vilasi, S.; Sparano, G.; Vilasi, G. 3 2011 Geometry of the recursion operators for the GMV system. Zbl 1251.35116Yanovski, A. B.; Vilasi, G. 3 2012 Geometric theory of the recursion operators for the generalized Zakharov-Shabat system in pole gauge on the algebra \(\mathrm{sl}(n,\mathbb{C})\). Zbl 1291.35267Yanovski, Alexandar B.; Vilasi, Gaetano 3 2012 Spin-1 gravitational waves. Zbl 1073.83020Canfora, Fabrizio; Vilasi, Gaetano; Vitale, Paola 2 2004 General relativity and gravitational physics. 16th SIGRAV conference on general relativity and gravitational physics, Vietri sul Mare, Italy, September 13–16, 2004. Zbl 1084.83005 2 2005 New aspects of complete integrability. Zbl 0925.58028Vilasi, Gaetano 2 1992 Geometrical and algebraic aspects of nonlinear field theory. Proceedings of the meeting on geometrical and algebraic aspects of nonlinear field theory, Amalfi, Italy, May 23-28, 1988. Zbl 0667.00020 1 1989 PP-waves, Israel’s matching conditions, braneworld scenarios and BPS states in gravity. Zbl 1064.83016Canfora, Fabrizio; Vilasi, Gaetano 1 2005 Spin-1 gravitational waves: theoretical and experimental aspects. Zbl 1101.83018Canfora, F.; Parisi, L.; Vilasi, G. 1 2006 Real forms of complexified Hamiltonian dynamics. Zbl 1219.37043Kyuldjiev, Assen; Gerdjikov, Vladimir; Marmo, Giuseppe; Vilasi, Gaetano 1 2002 Stability of the Einstein static universe in massive gravity. Zbl 1308.83176Parisi, Luca; Radicella, Ninfa; Vilasi, Gaetano 1 2014 Classical and quantum symmetries reduction and integrability. Zbl 1339.37058Marmo, Giuseppe; Sparano, Giovanni; Vilasi, Gaetano 1 2013 Stability of the Einstein static universe in massive gravity. Zbl 1308.83176Parisi, Luca; Radicella, Ninfa; Vilasi, Gaetano 1 2014 Classical and quantum symmetries reduction and integrability. Zbl 1339.37058Marmo, Giuseppe; Sparano, Giovanni; Vilasi, Gaetano 1 2013 Geometry of the recursion operators for the GMV system. Zbl 1251.35116Yanovski, A. B.; Vilasi, G. 3 2012 Geometric theory of the recursion operators for the generalized Zakharov-Shabat system in pole gauge on the algebra \(\mathrm{sl}(n,\mathbb{C})\). Zbl 1291.35267Yanovski, Alexandar B.; Vilasi, Gaetano 3 2012 On the gravity of light. Zbl 1226.83017Vilasi, S.; Sparano, G.; Vilasi, G. 3 2011 Integrable Hamiltonian hierarchies. Spectral and geometric methods. Reprint of the 2008 hardback edition. Zbl 1293.37002Gerdjikov, Vladimir Stefanov; Vilasi, Gaetano; Yanovski, Alexandar Borissov 4 2010 Integrable Hamiltonian hierarchies. Spectral and geometric methods. Zbl 1167.37001Gerdjikov, Vladimir Stefanov; Vilasi, Gaetano; Yanovski, Alexandar Borissov 43 2008 Geometrical aspects of mixed torsionless tensor fields. Zbl 1112.53018Rotondaro, G.; Sparano, G.; Vilasi, G. 3 2006 Spin-1 gravitational waves: theoretical and experimental aspects. Zbl 1101.83018Canfora, F.; Parisi, L.; Vilasi, G. 1 2006 General relativity and gravitational physics. 16th SIGRAV conference on general relativity and gravitational physics, Vietri sul Mare, Italy, September 13–16, 2004. Zbl 1084.83005 2 2005 PP-waves, Israel’s matching conditions, braneworld scenarios and BPS states in gravity. Zbl 1064.83016Canfora, Fabrizio; Vilasi, Gaetano 1 2005 Spin-1 gravitational waves. Zbl 1073.83020Canfora, Fabrizio; Vilasi, Gaetano; Vitale, Paola 2 2004 Construction of real forms of complexified Hamiltonian dynamical systems. Zbl 1053.37031Gerdjikov, V. S.; Kyuldjiev, A.; Marmo, G.; Vilasi, G. 3 2003 Vacuum Einstein metrics with bidimensional Killing leaves. I: Local aspects. Zbl 1033.53021Sparano, G.; Vilasi, G.; Vinogradov, A. M. 10 2002 Vacuum Einstein metrics with bidimensional Killing leaves. II: Global aspects. Zbl 1035.53099Sparano, G.; Vilasi, G.; Vinogradov, A. M. 10 2002 Nonlinear gravitational waves and their polarization. Zbl 0998.83022Canfora, F.; Vilasi, G.; Vitale, P. 6 2002 Real forms of complexified Hamiltonian dynamics. Zbl 1219.37043Kyuldjiev, Assen; Gerdjikov, Vladimir; Marmo, Giuseppe; Vilasi, Gaetano 1 2002 Gravitational fields with a non-Abelian, bidimensional Lie algebra of symmetries. Zbl 0969.83525Sparano, G.; Vilasi, G.; Vinogradov, A. M. 6 2001 Hamiltonian dynamics. Zbl 0980.37001Vilasi, Gaetano 5 2001 Noncommutative integrability and recursion operators. Zbl 0967.37034Giovanni Sparano, G.; Vilasi, Gaetano 5 2000 The local structure of \(n\)-Poisson and \(n\)-Jacobi manifolds. Zbl 0978.53126Marmo, G.; Vilasi, G.; Vinogradov, A. M. 32 1998 Recursion operators: Meaning and existence for completely integrable systems. Zbl 0801.58020Landi, G.; Marmo, G.; Vilasi, G. 12 1994 Remarks on the complete integrability of dynamical systems with fermionic variables. Zbl 0769.58031Landi, G.; Marmo, G.; Vilasi, G. 4 1992 New aspects of complete integrability. Zbl 0925.58028Vilasi, Gaetano 2 1992 A generalized reduction procedure for dynamical systems. Zbl 1020.37570Landi, G.; Marmo, G.; Sparano, G.; Vilasi, G. 3 1991 Tensor fields defining a tangent bundle structure. Zbl 0752.58010de Filippo, Sergio; Landi, Giovanni; Marmo, Giuseppe; Vilasi, Gaetano 5 1989 Geometrical and algebraic aspects of nonlinear field theory. Proceedings of the meeting on geometrical and algebraic aspects of nonlinear field theory, Amalfi, Italy, May 23-28, 1988. Zbl 0667.00020 1 1989 A geometrical approach to the integrability of soliton equations. Zbl 0586.35087De Filippo, S.; Salerno, M.; Vilasi, G. 7 1985 all cited Publications top 5 cited Publications all top 5 Cited by 214 Authors 17 Gerdzhikov, Vladimir Stefanov 11 Vilasi, Gaetano 8 Ivanov, Rossen I. 7 Bai, Ruipu 7 Vinogradov, Aleksandr Mikhaĭlovich 5 Grahovski, Georgi G. 5 Guha, Partha 5 Marmo, Giuseppe 5 Stefanov, Aleksander A. 4 Canfora, Fabrizio 4 Cariñena, José F. 4 Ma, Wen-Xiu 4 Sparano, Giovanni 4 Valchev, Tihomir I. 3 Chen, Zhiqi 3 de León Rodríguez, Manuel 3 Mladenov, Dimitar M. 3 Pereira, José Geraldo 3 Rañada, Manuel F. 3 Varbev, Stanislav K. 2 An, Hongwei 2 Bi, Yanhui 2 Catalano Ferraioli, Diego 2 Clemente-Gallardo, Jesús 2 Das, Apurba 2 D’Avanzo, Antonella 2 Dong, Huanhe 2 Esposito, Giampiero 2 Gutkin, Daniel 2 Hounkonnou, Mahouton Norbert 2 Landalidji, Mahougnon Justin 2 Li, Zhenheng 2 Liang, Ke 2 Lyons, Tony 2 Marvan, Michal 2 Matveev, Vladimir B. 2 Mayor, C. S. O. 2 Merino, Eugenio 2 Otalora, Giovanni 2 Oubiña, José A. 2 Parisi, Luca 2 Ren, Mingming 2 Salgado, Modesto R. 2 Sheng, Yunhe 2 Smirnov, Alexander O. 2 Tempesta, Piergiulio 2 Todorov, Michail D. 2 Tondo, Giorgio 2 Yanovski, Aleksandar B. 2 Zhang, Yong 1 Aldrovandi, Ruben 1 Alessio, Francesco 1 Arcos, Héctor Iván 1 Arnaudon, Alexis 1 Astashov, A. M. 1 Astashova, Irina Viktorovna 1 Azuaje, R. 1 Bächtold, Michael Johannes 1 Bai, Chengming 1 Basu, Samik 1 Basu, Somnath 1 Ben Hassine, Abdelkader 1 Bocharov, Alexei V. 1 Bogoyavlenskij, Oleg Igorevich 1 Boualem, Hassan 1 Bouwknegt, Peter G. 1 Boyadjiev, G. P. 1 Brouzet, Robert 1 Bukhshtaber, Viktor Matveevich 1 Calderón Martín, Antonio Jesús 1 Capozziello, Salvatore 1 Capriolo, Maurizio 1 Chen, Liangyun 1 Chen, Yong 1 Cheng, Yi 1 Chetverikov, Vladimir N. 1 Chtioui, Taoufik 1 Chvartatskyi, O. I. 1 Constantin, Adrian 1 Crampin, Mike 1 Crâşmăreanu, Mircea 1 da Rocha, Roldão Jun. 1 Dafounansou, Ousmanou 1 Darabi, Farhad 1 Di Stasio, Pasquale 1 Dobrogowska, Alina 1 Elhamdadi, Mohamed 1 Fakhar, Kamran 1 Fan, Hongtao 1 Fehér, László Gy. 1 Figueroa, Héctor 1 Fuchs, Dmitry Borisovich 1 Gaeta, Giuseppe 1 Geng, Qiaozhi 1 Giovanni Sparano, G. 1 Goliński, Tomasz 1 Gu, Xiang 1 Guedes, Carlos 1 Guo, Li 1 Haas, Fernando ...and 114 more Authors all top 5 Cited in 57 Serials 17 Journal of Mathematical Physics 13 Theoretical and Mathematical Physics 12 International Journal of Geometric Methods in Modern Physics 8 Journal of Geometry and Physics 8 Differential Geometry and its Applications 8 Journal of Nonlinear Mathematical Physics 4 Linear Algebra and its Applications 3 Annales de l’Institut Henri Poincaré. Physique Théorique 2 International Journal of Modern Physics A 2 Communications in Mathematical Physics 2 General Relativity and Gravitation 2 Journal of Mathematical Analysis and Applications 2 Nuclear Physics. B 2 Studies in Applied Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Nonlinear Dynamics 2 Nonlinear Analysis. Real World Applications 2 Foundations of Physics 2 Frontiers of Mathematics in China 1 Modern Physics Letters A 1 Modern Physics Letters B 1 International Journal of Modern Physics B 1 Bulletin of the Australian Mathematical Society 1 International Journal of Theoretical Physics 1 Letters in Mathematical Physics 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Wave Motion 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Algebra 1 Journal of Pure and Applied Algebra 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Tokyo Journal of Mathematics 1 Acta Applicandae Mathematicae 1 Journal of the Ramanujan Mathematical Society 1 Journal of Nonlinear Science 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Turkish Journal of Mathematics 1 Advances in Applied Clifford Algebras 1 Discrete and Continuous Dynamical Systems 1 Acta Mathematica Sinica. English Series 1 Gravitation & Cosmology 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Geometry and Symmetry in Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 Advances in Mathematical Physics 1 Journal of Geometric Mechanics 1 Science China. Mathematics 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Annalen der Physik 1 Journal of Function Spaces 1 International Journal of Applied and Computational Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 23 Fields 61 Dynamical systems and ergodic theory (37-XX) 47 Partial differential equations (35-XX) 36 Differential geometry (53-XX) 33 Nonassociative rings and algebras (17-XX) 26 Mechanics of particles and systems (70-XX) 19 Relativity and gravitational theory (83-XX) 14 Quantum theory (81-XX) 9 Global analysis, analysis on manifolds (58-XX) 3 Algebraic geometry (14-XX) 3 Ordinary differential equations (34-XX) 2 Geometry (51-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year