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Thompson, Gerard

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Author ID: thompson.gerard Recent zbMATH articles by "Thompson, Gerard"
Published as: Thompson, G.; Thompson, Gerard
External Links: MGP
Documents Indexed: 67 Publications since 1984, including 1 Book

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 357 times in 276 Documents Cited by Year
A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics. Zbl 0545.58020
Crampin, M.; Prince, G. E.; Thompson, G.
46
1984
Killing tensors in spaces of constant curvature. Zbl 0607.53025
Thompson, G.
41
1986
Affine bundles and integrable almost tangent structures. Zbl 0572.53031
Crampin, M.; Thompson, G.
24
1985
Linearization of second order ordinary differential equations via Cartan’s equivalence method. Zbl 0671.34012
Grissom, Charles; Thompson, Gerard; Wilkens, George
22
1989
The holonomy Lie algebras of neutral metrics in dimension four. Zbl 1016.53039
Ghanam, Ryad; Thompson, G.
19
2001
The inverse problem of the calculus of variations for ordinary differential equations. Zbl 0760.49021
Anderson, Ian; Thompson, Gerard
18
1992
Polynomial constants of motion in a flat space. Zbl 0549.70008
Thompson, Gerard
17
1984
Bi-differential calculi, bi-Hamiltonian systems and conformal Killing tensors. Zbl 0967.37035
Crampin, M.; Sarlet, W.; Thompson, G.
14
2000
The inverse problem of the calculus of variations: The use of geometrical calculus in Douglas’s analysis. Zbl 1038.37044
Sarlet, W.; Thompson, G.; Prince, G. E.
14
2002
Six-dimensional Lie algebras with a five-dimensional nilradical. Zbl 1280.17014
Shabanskaya, Anastasia; Thompson, Gerard
13
2013
Bi-differential calculi and bi-Hamiltonian systems. Zbl 0989.37063
Crampin, M.; Sarlet, W.; Thompson, G.
9
2000
Submersive second order ordinary differential equations. Zbl 0746.58031
Kossowski, Marek; Thompson, Gerard
7
1991
Almost tangent and cotangent structures in the large. Zbl 0737.53035
Thompson, G.; Schwardmann, U.
7
1991
Variational connections on Lie groups. Zbl 1021.37038
Thompson, G.
7
2003
Non-uniqueness of the metric in Lorentzian manifolds. Zbl 0799.53032
Martin, G. K.; Thompson, G.
6
1993
Integrable almost cotangent structures and Legendrian bundles. Zbl 0629.53034
Thompson, G.
6
1987
The inverse problem of the calculus of variations: Separable systems. Zbl 0935.49017
Crampin, M.; Prince, G. E.; Sarlet, W.; Thompson, G.
6
1999
Normal forms for skew-symmetric matrices and Hamiltonian systems with first integrals linear in momenta. Zbl 0687.58011
Thompson, G.
5
1988
Minimal matrix representations of five-dimensional Lie algebras. Zbl 1366.17006
Ghanam, R.; Thompson, G.
5
2015
Metrics compatible with a symmetric connection in dimension three. Zbl 0861.53013
Thompson, G.
4
1996
Normal form of a metric admitting a parallel field of planes. Zbl 0777.53024
Thompson, G.
4
1992
Symplectic manifolds with Lagrangian fibration. Zbl 0606.53021
Thompson, G.
4
1986
Second-order equation fields and the inverse problem of Lagrangian dynamics. Zbl 0638.70013
Thompson, G.
4
1987
Matrix representations for low dimensional Lie algebras. Zbl 1146.22017
Ghanam, R.; Strugar, I.; Thompson, G.
4
2005
Variationality of four-dimensional Lie group connections. Zbl 1288.70011
Ghanam, R.; Thompson, G.; Miller, E. J.
4
2004
Seven dimensional Lie algebras with a four-dimensional nilradical. Zbl 1210.17016
Hindeleh, Firas; Thompson, G.
3
2008
Four-dimensional Einstein Lie groups. Zbl 1387.17022
Karki, Manoj B.; Thompson, Gerard
3
2016
Inverse problem of the calculus of variations on Lie groups. Zbl 1092.37041
Muzsnay, Zoltán; Thompson, Gerard
3
2005
An EDS approach to the inverse problem in the calculus of variations. Zbl 1112.58016
Aldridge, J. E.; Prince, G. E.; Sarlet, W.; Thompson, G.
3
2006
Second-order systems with Runge-Lenz-type vectors. Zbl 0634.70007
Thompson, G.
3
1987
Minimal matrix representations of four-dimensional Lie algebras. Zbl 1276.17006
Ghanam, R.; Thompson, G.
3
2013
Non-uniqueness of metrics compatible with a symmetric connection. Zbl 0792.53021
Thompson, G.
2
1993
The integrability of a field of endomorphisms. Zbl 1015.53019
Thompson, Gerard
2
2002
The inverse problem for six-dimensional codimension two nilradical Lie algebras. Zbl 1112.17033
Rawashdeh, M.; Thompson, G.
2
2006
Representations for six-dimensional nilpotent Lie algebras. Zbl 1146.17304
Ghanam, R.; Thompson, G.; Tonon, S.
2
2006
Darboux’s problem of quadratic integrals. Zbl 0568.70015
Thompson, Gerard
2
1984
When does the motion of test particles determine the metric tensor? Zbl 0708.53051
Marmo, G.; Rubano, C.; Thompson, G.
2
1990
Two special metrics with \(R_{14}\)-type holonomy. Zbl 0982.83013
Ghanam, R.; Thompson, G.
2
2001
Minimal matrix representations of decomposable Lie algebras of dimension less than or equal to five. Zbl 07046833
Ghanam, Ryad; Lamichhane, Manoj; Thompson, Gerard
2
2018
Subalgebras of \({\mathfrak{gl}}(3,\mathbb{R})\). Zbl 1279.22030
Thompson, G.; Wick, Z.
2
2012
Killing’s equations for invariant metrics on Lie groups. Zbl 1243.22018
Hindeleh, Firas; Thompson, Gerard
2
2011
Inverse problem for the canonical Lie group connection. Zbl 1213.53056
Strugar, Igor; Thompson, Gerard
1
2009
Variational and integrable connections. Zbl 0939.53015
Thompson, G.
1
1998
Cartan’s method of equivalence and second-order equation fields. Zbl 0571.58007
Thompson, G.
1
1985
Lie and Noether symmetries and a result of Logan. Zbl 0611.35084
Thompson, G.
1
1986
Bi-invariant and noninvariant metrics on Lie groups. Zbl 1152.81447
Ghanam, R.; Hindeleh, F.; Thompson, G.
1
2007
Five-dimensional Lie-Einstein metrics. Zbl 1447.53048
Subedi, R. R.; Khanal, S.; Thompson, G.
1
2019
Representations of nine-dimensional Levi decomposition Lie algebras. Zbl 07125498
Khanal, Sunil; Subedi, Rishi Raj; Thompson, Gerard
1
2020
Nonsolvable subalgebras of \(\mathfrak{gl}(4, \mathbb R)\). Zbl 07037542
Ghanam, Ryad; Thompson, Gerard
1
2016
Invariant metrics on Lie groups. Zbl 1404.53032
Thompson, Gerard
1
2015
Representations of nine-dimensional Levi decomposition Lie algebras. Zbl 07125498
Khanal, Sunil; Subedi, Rishi Raj; Thompson, Gerard
1
2020
Five-dimensional Lie-Einstein metrics. Zbl 1447.53048
Subedi, R. R.; Khanal, S.; Thompson, G.
1
2019
Minimal matrix representations of decomposable Lie algebras of dimension less than or equal to five. Zbl 07046833
Ghanam, Ryad; Lamichhane, Manoj; Thompson, Gerard
2
2018
Four-dimensional Einstein Lie groups. Zbl 1387.17022
Karki, Manoj B.; Thompson, Gerard
3
2016
Nonsolvable subalgebras of \(\mathfrak{gl}(4, \mathbb R)\). Zbl 07037542
Ghanam, Ryad; Thompson, Gerard
1
2016
Minimal matrix representations of five-dimensional Lie algebras. Zbl 1366.17006
Ghanam, R.; Thompson, G.
5
2015
Invariant metrics on Lie groups. Zbl 1404.53032
Thompson, Gerard
1
2015
Six-dimensional Lie algebras with a five-dimensional nilradical. Zbl 1280.17014
Shabanskaya, Anastasia; Thompson, Gerard
13
2013
Minimal matrix representations of four-dimensional Lie algebras. Zbl 1276.17006
Ghanam, R.; Thompson, G.
3
2013
Subalgebras of \({\mathfrak{gl}}(3,\mathbb{R})\). Zbl 1279.22030
Thompson, G.; Wick, Z.
2
2012
Killing’s equations for invariant metrics on Lie groups. Zbl 1243.22018
Hindeleh, Firas; Thompson, Gerard
2
2011
Inverse problem for the canonical Lie group connection. Zbl 1213.53056
Strugar, Igor; Thompson, Gerard
1
2009
Seven dimensional Lie algebras with a four-dimensional nilradical. Zbl 1210.17016
Hindeleh, Firas; Thompson, G.
3
2008
Bi-invariant and noninvariant metrics on Lie groups. Zbl 1152.81447
Ghanam, R.; Hindeleh, F.; Thompson, G.
1
2007
An EDS approach to the inverse problem in the calculus of variations. Zbl 1112.58016
Aldridge, J. E.; Prince, G. E.; Sarlet, W.; Thompson, G.
3
2006
The inverse problem for six-dimensional codimension two nilradical Lie algebras. Zbl 1112.17033
Rawashdeh, M.; Thompson, G.
2
2006
Representations for six-dimensional nilpotent Lie algebras. Zbl 1146.17304
Ghanam, R.; Thompson, G.; Tonon, S.
2
2006
Matrix representations for low dimensional Lie algebras. Zbl 1146.22017
Ghanam, R.; Strugar, I.; Thompson, G.
4
2005
Inverse problem of the calculus of variations on Lie groups. Zbl 1092.37041
Muzsnay, Zoltán; Thompson, Gerard
3
2005
Variationality of four-dimensional Lie group connections. Zbl 1288.70011
Ghanam, R.; Thompson, G.; Miller, E. J.
4
2004
Variational connections on Lie groups. Zbl 1021.37038
Thompson, G.
7
2003
The inverse problem of the calculus of variations: The use of geometrical calculus in Douglas’s analysis. Zbl 1038.37044
Sarlet, W.; Thompson, G.; Prince, G. E.
14
2002
The integrability of a field of endomorphisms. Zbl 1015.53019
Thompson, Gerard
2
2002
The holonomy Lie algebras of neutral metrics in dimension four. Zbl 1016.53039
Ghanam, Ryad; Thompson, G.
19
2001
Two special metrics with \(R_{14}\)-type holonomy. Zbl 0982.83013
Ghanam, R.; Thompson, G.
2
2001
Bi-differential calculi, bi-Hamiltonian systems and conformal Killing tensors. Zbl 0967.37035
Crampin, M.; Sarlet, W.; Thompson, G.
14
2000
Bi-differential calculi and bi-Hamiltonian systems. Zbl 0989.37063
Crampin, M.; Sarlet, W.; Thompson, G.
9
2000
The inverse problem of the calculus of variations: Separable systems. Zbl 0935.49017
Crampin, M.; Prince, G. E.; Sarlet, W.; Thompson, G.
6
1999
Variational and integrable connections. Zbl 0939.53015
Thompson, G.
1
1998
Metrics compatible with a symmetric connection in dimension three. Zbl 0861.53013
Thompson, G.
4
1996
Non-uniqueness of the metric in Lorentzian manifolds. Zbl 0799.53032
Martin, G. K.; Thompson, G.
6
1993
Non-uniqueness of metrics compatible with a symmetric connection. Zbl 0792.53021
Thompson, G.
2
1993
The inverse problem of the calculus of variations for ordinary differential equations. Zbl 0760.49021
Anderson, Ian; Thompson, Gerard
18
1992
Normal form of a metric admitting a parallel field of planes. Zbl 0777.53024
Thompson, G.
4
1992
Submersive second order ordinary differential equations. Zbl 0746.58031
Kossowski, Marek; Thompson, Gerard
7
1991
Almost tangent and cotangent structures in the large. Zbl 0737.53035
Thompson, G.; Schwardmann, U.
7
1991
When does the motion of test particles determine the metric tensor? Zbl 0708.53051
Marmo, G.; Rubano, C.; Thompson, G.
2
1990
Linearization of second order ordinary differential equations via Cartan’s equivalence method. Zbl 0671.34012
Grissom, Charles; Thompson, Gerard; Wilkens, George
22
1989
Normal forms for skew-symmetric matrices and Hamiltonian systems with first integrals linear in momenta. Zbl 0687.58011
Thompson, G.
5
1988
Integrable almost cotangent structures and Legendrian bundles. Zbl 0629.53034
Thompson, G.
6
1987
Second-order equation fields and the inverse problem of Lagrangian dynamics. Zbl 0638.70013
Thompson, G.
4
1987
Second-order systems with Runge-Lenz-type vectors. Zbl 0634.70007
Thompson, G.
3
1987
Killing tensors in spaces of constant curvature. Zbl 0607.53025
Thompson, G.
41
1986
Symplectic manifolds with Lagrangian fibration. Zbl 0606.53021
Thompson, G.
4
1986
Lie and Noether symmetries and a result of Logan. Zbl 0611.35084
Thompson, G.
1
1986
Affine bundles and integrable almost tangent structures. Zbl 0572.53031
Crampin, M.; Thompson, G.
24
1985
Cartan’s method of equivalence and second-order equation fields. Zbl 0571.58007
Thompson, G.
1
1985
A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics. Zbl 0545.58020
Crampin, M.; Prince, G. E.; Thompson, G.
46
1984
Polynomial constants of motion in a flat space. Zbl 0549.70008
Thompson, Gerard
17
1984
Darboux’s problem of quadratic integrals. Zbl 0568.70015
Thompson, Gerard
2
1984
all top 5

Cited by 328 Authors

22 Thompson, Gerard
14 Prince, Geoff E.
13 Sarlet, Willy
12 Crampin, Mike
10 Cariñena, José F.
10 de León Rodríguez, Manuel
9 McLenaghan, Raymond G.
9 Rañada, Manuel F.
8 Mestdag, Tom
7 Muzsnay, Zoltán
7 Rossi, Olga
7 Smirnov, Roman G.
6 Law, Peter R.
6 Martínez Fernández, Eduardo
6 Salgado, Modesto R.
5 Bucataru, Ioan
5 Cantrijn, Frans
5 Ghanam, Ryad A.
5 Leach, Peter Gavin Lawrence
4 Marmo, Giuseppe
4 Matsushita, Yasuo
4 Shabanskaya, Anastasia
3 Bayrakdar, Tuna
3 Douglas, Andrew S.
3 Figula, Ágota
3 García-Río, Eduardo
3 Henneaux, Marc
3 Kartak, Vera V.
3 Krupka, Demeter
3 Martín de Diego, David
3 Massa, Enrico
3 Matveev, Vladimir S.
3 Merino, Eugenio
3 Merker, Joël
3 Oubiña, José A.
3 Pagani, Enrico M.
3 Repka, Joe
3 Román-Roy, Narciso
3 Saunders, David J.
3 Shurygin, Vadim V. jun.
3 Suh, Young Jin
3 Vázquez-Lorenzo, Ramón
2 Al-Abayechi, Ameer
2 Al-Dweik, Ahmad Y.
2 Albouy, Alain
2 Aldridge, J. E.
2 Bezvitnaya, Natalia I.
2 Boubel, Charles
2 Calviño-Louzao, Esteban
2 Campoleoni, Andrea
2 Ceballos, Manuel
2 Constantinescu, Oana
2 Derdzinski, Andrzej
2 Do, Thoan
2 Gilkey, Peter B.
2 Gorringe, V. M.
2 Guha, Partha
2 Guo, Yongxin
2 Heil, Konstantin
2 Horwood, Joshua T.
2 Ibort, Luis Alberto
2 İşcan, Murat
2 Jerie, M.
2 Kamran, Niky
2 Leonard, Amaury
2 Lindström, Ulf
2 Liu, Chang
2 Liu, Shixing
2 Mahomed, Fazal M.
2 Malyugina, Aleksandra A.
2 Manno, Gianni
2 Marín-Solano, Jesús
2 Marrero, Juan Carlos
2 Méndez, Isabel
2 Milson, Robert
2 Mitsopoulos, Antonios
2 Montanaro, Ashley
2 Muñoz-Lecanda, Miguel C.
2 Nucci, Maria Clara
2 Núñez-Valdés, Juan
2 Özkan, Mustafa
2 Puiggalí, Marta Farré
2 Rajaratnam, Krishan
2 Rodrigues, Paulo Roberto
2 Roter, Witold Kazimierz
2 Subedi, Rishi Raj
2 Tenorio, Ángel F.
2 The, Dennis
2 Tsamparlis, Michael
2 Tsyganov, Andreĭ Vladimirovich
2 Vandecasteele, A.
2 Vázquez Abal, María Elena
2 Vilasi, Gaetano
2 Vollmer, Andreas
2 Waeyaert, G.
2 Yue, Jin
2 Yumaguzhin, Valeriy A.
1 Abdurasulov, Kobiljon K.
1 Abraham-Shrauner, Barbara
1 Ahangari, Fatemeh
...and 228 more Authors
all top 5

Cited in 102 Serials

41 Journal of Mathematical Physics
27 Journal of Geometry and Physics
20 Differential Geometry and its Applications
11 Journal of High Energy Physics
10 International Journal of Geometric Methods in Modern Physics
8 Journal of Nonlinear Mathematical Physics
5 Acta Applicandae Mathematicae
5 Annales de l’Institut Henri Poincaré. Physique Théorique
5 Mediterranean Journal of Mathematics
4 Communications in Algebra
4 Communications in Mathematical Physics
4 Letters in Mathematical Physics
4 Transactions of the American Mathematical Society
4 Journal of Mathematical Sciences (New York)
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Journal of Geometric Mechanics
3 Bulletin of the Australian Mathematical Society
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Reports on Mathematical Physics
3 Quaestiones Mathematicae
3 Linear Algebra and its Applications
2 Classical and Quantum Gravity
2 Computer Physics Communications
2 Mathematical Notes
2 Theoretical and Mathematical Physics
2 Journal of Differential Equations
2 Journal of Geometry
2 Annals of Global Analysis and Geometry
2 The Journal of Geometric Analysis
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Russian Mathematics
2 Turkish Journal of Mathematics
2 Mathematics and Mechanics of Solids
2 Regular and Chaotic Dynamics
2 Theoretical and Applied Mechanics
2 Journal of Physics A: Mathematical and Theoretical
2 Advances in Mathematical Physics
2 Communications in Mathematics
2 Journal of Mathematics
1 General Relativity and Gravitation
1 International Journal of Theoretical Physics
1 Journal of Computational Physics
1 Journal of Mathematical Analysis and Applications
1 Journal of the Mechanics and Physics of Solids
1 Linear and Multilinear Algebra
1 Physics Letters. A
1 Physics Reports
1 Rocky Mountain Journal of Mathematics
1 Transport Theory and Statistical Physics
1 Ukrainian Mathematical Journal
1 Reviews in Mathematical Physics
1 Annales de l’Institut Fourier
1 Annales Polonici Mathematici
1 Canadian Mathematical Bulletin
1 Computing
1 Czechoslovak Mathematical Journal
1 Duke Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Algebra
1 Journal of Computational and Applied Mathematics
1 Journal of Economic Theory
1 Journal of Pure and Applied Algebra
1 Mathematics and Computers in Simulation
1 Mechanics Research Communications
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 SIAM Journal on Computing
1 SIAM Journal on Control and Optimization
1 Tohoku Mathematical Journal. Second Series
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Acta Mathematica Hungarica
1 Bulletin of the Iranian Mathematical Society
1 Journal of Symbolic Computation
1 Applied Mathematics Letters
1 Journal of Nonlinear Science
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Calculus of Variations and Partial Differential Equations
1 Journal of Lie Theory
1 Electronic Research Announcements of the American Mathematical Society
1 Sbornik: Mathematics
1 Transformation Groups
1 Nonlinear Dynamics
1 Mathematical Physics, Analysis and Geometry
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Communications in Nonlinear Science and Numerical Simulation
1 Lobachevskii Journal of Mathematics
1 DGDS. Differential Geometry – Dynamical Systems
1 Differential Equations
1 Journal of the Australian Mathematical Society
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Algebra and its Applications
1 Complex Variables and Elliptic Equations
1 Chebyshevskiĭ Sbornik
1 Acta Mathematica Universitatis Ostraviensis
1 Science China. Technological Sciences
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 International Journal of Group Theory
1 Arabian Journal of Mathematics
1 Complex Manifolds
...and 2 more Serials

Citations by Year