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Marle, Charles-Michel

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Author ID: marle.charles-michel Recent zbMATH articles by "Marle, Charles-Michel"
Published as: Marle, Charles-Michel; Marle, C.-M.; Marle, C.; Marle, C. M.; Marle, Charles; Marle, Ch.-M.; Marle, G.-M.
Homepage: http://marle.perso.math.cnrs.fr/
External Links: MGP · Wikidata · ResearchGate · GND · IdRef · theses.fr
Documents Indexed: 64 Publications since 1965, including 6 Books
1 Further Contribution
Co-Authors: 12 Co-Authors with 10 Joint Publications
265 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 546 times in 481 Documents Cited by Year
Symplectic geometry and analytical mechanics. Transl. from the French by Bertram Eugene Schwarzbach. Zbl 0643.53002
Libermann, Paulette; Marle, Charles-Michel
135
1987
Various approaches to conservative and nonconservative nonholonomic systems. Zbl 0931.37023
Marle, Charles-Michel
58
1998
Structure locale des variétés de Jacobi. (Local structure of Jacobi manifolds). Zbl 0659.53033
Dazord, Pierre; Lichnerowicz, André; Marle, Charles-Michel
39
1991
Reduction of constrained mechanical systems and stability of relative equilibria. Zbl 0859.70012
Marle, Charles-Michel
35
1995
Modèle d’action hamiltonienne d’un groupe de Lie sur une variété symplectique. (Model of Hamiltonian action of a Lie group on a symplectic manifold). Zbl 0599.53032
Marle, Charles-Michel
34
1985
Mesures et probabilités. Zbl 0306.28001
Marle, Charles-Michel
24
1974
On macroscopic equations governing multiphase flow with diffusion and chemical reactions in porous media. Zbl 0544.76105
Marle, C. M.
23
1982
On Jacobi manifolds and Jacobi bundles. Zbl 0735.53023
Marle, Charles-Michel
19
1991
Calculus on Lie algebroids, Lie groupoids and Poisson manifolds. Zbl 1152.58307
Marle, Charles-Michel
17
2008
The Schouten-Nijenhuis bracket and interior products. Zbl 0934.58002
Marle, Charles-Michel
15
1997
Modèle cinetique pour l’etablissement des lois de la conduction de la chaleur et de la viscosite en théorie de la relativite. Zbl 0127.17408
Marle, C.
14
1965
On symmetries and constants of motion in Hamiltonian systems with nonholonomic constraints. Zbl 1043.37047
Marle, Charles-Michel
11
2003
A property of conformally Hamiltonian vector fields; application to the Kepler problem. Zbl 1417.37187
Marle, Charles-Michel
11
2012
Master symmetries and bi-Hamiltonian structures for the relativistic Toda lattice. Zbl 1004.37510
Nunes da Costa, J. M.; Marle, C.-M.
9
1997
Kinematic and geometric constraints, servomechanism and control of mechanical systems. Zbl 0915.70018
Marle, C.-M.
9
1996
Symplectic manifolds, dynamical groups, and Hamiltonian mechanics. Zbl 0369.53042
Marle, G.-M.
9
1976
Differential calculus on a Lie algebroid and Poisson manifolds. Zbl 1031.53114
Marle, Charles-Michel
7
2002
Geometry of mechanical systems with active constraints. (Géométrie des systèmes méchaniques à liaisons actives.) Zbl 0743.70018
Marle, Charles-Michel
7
1991
Géométrie symplectique. Bases théoriques de la mécanique. (Symplectic geometry. Theoretical fundaments of mechanics). Tomes I-IV. Zbl 0643.53001
Libermann, Paulette; Marle, Charles-Michel
6
1986
Reduction of bihamiltonian manifolds and recursion operators. Zbl 0862.58025
Nunes da Costa, Joana Margarida; Marle, Charles-Michel
6
1996
Introduction to symplectic geometry. Zbl 1433.53002
Koszul, Jean-Louis; Zou, Yi Ming
6
2019
The inception of symplectic geometry: The works of Lagrange and Poisson during the years 1808-1810. Zbl 1189.53003
Marle, Charles-Michel
5
2009
Symmetries of Hamiltonian dynamical systems, momentum maps and reductions. Zbl 1318.53095
Marle, Charles-Michel
4
2014
On Henri Poincaré’s note “Sur une forme nouvelle des équations de la Mécanique”. Zbl 1315.37034
Marle, Charles-Michel
4
2013
On submanifolds and quotients of Poisson and Jacobi manifolds. Zbl 0988.53039
Marle, Charles-Michel
4
2000
Sous-variétés de rang constant d’une variété symplectique. Zbl 0529.53031
Marle, Charles-Michel
4
1983
Le voisinage d’une orbite d’une action hamiltonienne d’un groupe de Lie. Zbl 0533.58016
Marle, C.-M.
4
1984
On Gibbs states of mechanical systems with symmetries. Zbl 1459.53074
Marle, Charles-Michel
4
2020
Sur la géométrie des systèmes mécaniques à liaisons actives. (Geometry of mechanical systems with active constraints). Zbl 0713.70015
Marle, Charles-Michel
3
1990
From momentum maps and dual pairs to symplectic and Poisson groupoids. Zbl 1093.53089
Marle, Charles-Michel
3
2005
Normal forms generalizing action-angle coordinates for Hamiltonian actions of Lie groups. Zbl 0517.58011
Marle, Charles-Michel
3
1983
Classification des actions hamiltoniennes au voisinage d’une orbite. (Classification of Hamiltonian actions on a neighbourhood of an orbit). Zbl 0588.58026
Marle, Charles-Michel
2
1984
Symmetries of Hamiltonian systems on symplectic and Poisson manifolds. Zbl 1304.70020
Marle, Charles-Michel
2
2014
Lie group actions on a canonical manifold. Zbl 0526.58021
Marle, C.-M.
2
1983
Contact manifolds, canonical manifolds and the Hamilton-Jacobi method in analytical mechanics. Zbl 0569.58014
Marle, C. M.
2
1983
André Lichnerowicz (1915-1998). Zbl 0932.01060
Berger, Marcel; Bourguignon, Jean-Pierre; Choquet-Bruhat, Yvonne; Marle, Charles-Michel; Revuz, André
1
1999
Poisson manifolds in mechanics. Zbl 0525.58019
Marle, Charles-Michel
1
1983
Expressions du tenseur d’impulsion-energie d’un gaz visqueux conducteur de la chaleur en Relativite générale. Zbl 0127.18204
Marle, C.
1
1965
The works of William Rowan Hamilton in geometrical optics and the Malus-Dupin theorem. Zbl 1359.53016
Marle, Charles-Michel
1
2016
Examples of Gibbs states of mechanical systems with symmetries. Zbl 1468.53064
Marle, Charles-Michel
1
2020
William Rowan Hamilton and the Malus-Dupin theorem. (William Rowan Hamilton et le théorème de Malus-Dupin.) Zbl 1358.78006
Marle, C.-M.
1
2015
On Gibbs states of mechanical systems with symmetries. Zbl 1459.53074
Marle, Charles-Michel
4
2020
Examples of Gibbs states of mechanical systems with symmetries. Zbl 1468.53064
Marle, Charles-Michel
1
2020
Introduction to symplectic geometry. Zbl 1433.53002
Koszul, Jean-Louis; Zou, Yi Ming
6
2019
The works of William Rowan Hamilton in geometrical optics and the Malus-Dupin theorem. Zbl 1359.53016
Marle, Charles-Michel
1
2016
William Rowan Hamilton and the Malus-Dupin theorem. (William Rowan Hamilton et le théorème de Malus-Dupin.) Zbl 1358.78006
Marle, C.-M.
1
2015
Symmetries of Hamiltonian dynamical systems, momentum maps and reductions. Zbl 1318.53095
Marle, Charles-Michel
4
2014
Symmetries of Hamiltonian systems on symplectic and Poisson manifolds. Zbl 1304.70020
Marle, Charles-Michel
2
2014
On Henri Poincaré’s note “Sur une forme nouvelle des équations de la Mécanique”. Zbl 1315.37034
Marle, Charles-Michel
4
2013
A property of conformally Hamiltonian vector fields; application to the Kepler problem. Zbl 1417.37187
Marle, Charles-Michel
11
2012
The inception of symplectic geometry: The works of Lagrange and Poisson during the years 1808-1810. Zbl 1189.53003
Marle, Charles-Michel
5
2009
Calculus on Lie algebroids, Lie groupoids and Poisson manifolds. Zbl 1152.58307
Marle, Charles-Michel
17
2008
From momentum maps and dual pairs to symplectic and Poisson groupoids. Zbl 1093.53089
Marle, Charles-Michel
3
2005
On symmetries and constants of motion in Hamiltonian systems with nonholonomic constraints. Zbl 1043.37047
Marle, Charles-Michel
11
2003
Differential calculus on a Lie algebroid and Poisson manifolds. Zbl 1031.53114
Marle, Charles-Michel
7
2002
On submanifolds and quotients of Poisson and Jacobi manifolds. Zbl 0988.53039
Marle, Charles-Michel
4
2000
André Lichnerowicz (1915-1998). Zbl 0932.01060
Berger, Marcel; Bourguignon, Jean-Pierre; Choquet-Bruhat, Yvonne; Marle, Charles-Michel; Revuz, André
1
1999
Various approaches to conservative and nonconservative nonholonomic systems. Zbl 0931.37023
Marle, Charles-Michel
58
1998
The Schouten-Nijenhuis bracket and interior products. Zbl 0934.58002
Marle, Charles-Michel
15
1997
Master symmetries and bi-Hamiltonian structures for the relativistic Toda lattice. Zbl 1004.37510
Nunes da Costa, J. M.; Marle, C.-M.
9
1997
Kinematic and geometric constraints, servomechanism and control of mechanical systems. Zbl 0915.70018
Marle, C.-M.
9
1996
Reduction of bihamiltonian manifolds and recursion operators. Zbl 0862.58025
Nunes da Costa, Joana Margarida; Marle, Charles-Michel
6
1996
Reduction of constrained mechanical systems and stability of relative equilibria. Zbl 0859.70012
Marle, Charles-Michel
35
1995
Structure locale des variétés de Jacobi. (Local structure of Jacobi manifolds). Zbl 0659.53033
Dazord, Pierre; Lichnerowicz, André; Marle, Charles-Michel
39
1991
On Jacobi manifolds and Jacobi bundles. Zbl 0735.53023
Marle, Charles-Michel
19
1991
Geometry of mechanical systems with active constraints. (Géométrie des systèmes méchaniques à liaisons actives.) Zbl 0743.70018
Marle, Charles-Michel
7
1991
Sur la géométrie des systèmes mécaniques à liaisons actives. (Geometry of mechanical systems with active constraints). Zbl 0713.70015
Marle, Charles-Michel
3
1990
Symplectic geometry and analytical mechanics. Transl. from the French by Bertram Eugene Schwarzbach. Zbl 0643.53002
Libermann, Paulette; Marle, Charles-Michel
135
1987
Géométrie symplectique. Bases théoriques de la mécanique. (Symplectic geometry. Theoretical fundaments of mechanics). Tomes I-IV. Zbl 0643.53001
Libermann, Paulette; Marle, Charles-Michel
6
1986
Modèle d’action hamiltonienne d’un groupe de Lie sur une variété symplectique. (Model of Hamiltonian action of a Lie group on a symplectic manifold). Zbl 0599.53032
Marle, Charles-Michel
34
1985
Le voisinage d’une orbite d’une action hamiltonienne d’un groupe de Lie. Zbl 0533.58016
Marle, C.-M.
4
1984
Classification des actions hamiltoniennes au voisinage d’une orbite. (Classification of Hamiltonian actions on a neighbourhood of an orbit). Zbl 0588.58026
Marle, Charles-Michel
2
1984
Sous-variétés de rang constant d’une variété symplectique. Zbl 0529.53031
Marle, Charles-Michel
4
1983
Normal forms generalizing action-angle coordinates for Hamiltonian actions of Lie groups. Zbl 0517.58011
Marle, Charles-Michel
3
1983
Lie group actions on a canonical manifold. Zbl 0526.58021
Marle, C.-M.
2
1983
Contact manifolds, canonical manifolds and the Hamilton-Jacobi method in analytical mechanics. Zbl 0569.58014
Marle, C. M.
2
1983
Poisson manifolds in mechanics. Zbl 0525.58019
Marle, Charles-Michel
1
1983
On macroscopic equations governing multiphase flow with diffusion and chemical reactions in porous media. Zbl 0544.76105
Marle, C. M.
23
1982
Symplectic manifolds, dynamical groups, and Hamiltonian mechanics. Zbl 0369.53042
Marle, G.-M.
9
1976
Mesures et probabilités. Zbl 0306.28001
Marle, Charles-Michel
24
1974
Modèle cinetique pour l’etablissement des lois de la conduction de la chaleur et de la viscosite en théorie de la relativite. Zbl 0127.17408
Marle, C.
14
1965
Expressions du tenseur d’impulsion-energie d’un gaz visqueux conducteur de la chaleur en Relativite générale. Zbl 0127.18204
Marle, C.
1
1965
all top 5

Cited by 598 Authors

18 de León Rodríguez, Manuel
17 Martín de Diego, David
14 Marrero, Juan Carlos
11 Ortega, Juan-Pablo
9 Grabowski, Janusz
9 Ratiu, Tudor Stefan
8 Balseiro, Paula
8 Yoshimura, Hiroaki
7 Cendra, Hernán
7 Esen, Oğul
7 Guha, Partha
7 Henríquez, Hernán R.
7 Román-Roy, Narciso
6 Fassò, Francesco
6 García-Naranjo, Luis C.
6 Gay-Balmaz, François
6 Grillo, Sergio Daniel
6 Miranda, Eva
6 Sansonetto, Nicola
5 Barbaresco, Frédéric
5 Cariñena, José F.
5 Damianou, Pantelis Andrea
5 Hwang, Byung-Hoon
5 Iglesias, David
5 Muñoz-Lecanda, Miguel C.
5 Wade, Aïssa
4 Barbero-Liñán, María
4 Grabowska, Katarzyna
4 Karshon, Yael
4 Lăzureanu, Cristian
4 Marle, Charles-Michel
4 Marmo, Giuseppe
4 Mladenov, Ivaĭlo M.
4 Nunes da Costa, Joana Margarida M.
4 Petalidou, Fani
4 Sardón, Cristina
4 Śniatycki, Jędrzej
4 Valcázar, Manuel Laínz
4 Weinstein, Alan David
4 Yun, Seok-Bae
3 Alexiou, Terpsichori S.
3 Anahory Simoes, Alexandre
3 Balcerzak, Bogdan
3 Bressan, Alberto
3 Cantrijn, Frans
3 Crainic, Marius
3 de la Llave, Rafael
3 Echeverría-Enríquez, Arturo
3 Holm, Darryl D.
3 Ionescu, Alexandru D.
3 Kapellos, George E.
3 Kobayashi, Marcelo Hissakiti
3 Marsden, Jerrold Eldon
3 Massa, Enrico
3 McLachlan, Robert I.
3 Montaldi, James A.
3 Nguyen Tien Zung
3 O’Dea, Reuben D.
3 Padrón, Edith
3 Pagani, Enrico M.
3 Patrick, George W.
3 Payatakes, Alkiviades C.
3 Pham, David N.
3 Planas-Bielsa, Víctor
3 Popescu, Paul P.
3 Rodríguez-Olmos, Miguel
3 Salazar, María Amelia
3 Sepe, Daniele
3 Sousa Dias, M. Esmeralda
3 Tabachnikov, Serge L.
3 Tsyganov, Andreĭ Vladimirovich
3 Vankerschaver, Joris
3 Vitagliano, Luca
3 Vivarelli, Maria Dina
2 Awane, Azzouz
2 Banyaga, Augustin
2 Bates, Larry M.
2 Bazzoni, Giovanni
2 Biggs, Rory
2 Bloch, Anthony Michael
2 Boualem, Hassan
2 Brook, Bindi S.
2 Brouzet, Robert
2 Bruce, Andrew James
2 Bruyelle, Jérémie
2 Byrne, Helen Mary
2 Calvo, Juan G.
2 Caşu, Ioan
2 Catren, Gabriel
2 Chacón-Acosta, Guillermo
2 Clemente-Gallardo, Jesús
2 Cortés, Jorge
2 Crampin, Mike
2 Cruz, Inês
2 Das, Apurba
2 de Lucas, Javier
2 Dobrogowska, Alina
2 Ehlers, Kurt M.
2 Fedorov, Yuri N.
2 Fernández Rodríguez, Marisa
...and 498 more Authors
all top 5

Cited in 169 Serials

47 Journal of Geometry and Physics
35 Journal of Mathematical Physics
18 Regular and Chaotic Dynamics
17 Journal of Geometric Mechanics
16 Reports on Mathematical Physics
14 Differential Geometry and its Applications
10 Archive for Rational Mechanics and Analysis
9 Letters in Mathematical Physics
9 Annales de l’Institut Henri Poincaré. Physique Théorique
8 Transactions of the American Mathematical Society
8 Acta Applicandae Mathematicae
8 Annals of Global Analysis and Geometry
7 International Journal of Geometric Methods in Modern Physics
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Communications in Mathematical Physics
6 International Journal of Theoretical Physics
6 Journal of Differential Equations
6 Journal of Nonlinear Science
6 Mediterranean Journal of Mathematics
5 Proceedings of the American Mathematical Society
5 Discrete and Continuous Dynamical Systems
4 Journal of Statistical Physics
4 Physica A
4 Advances in Mathematics
4 Annales de l’Institut Fourier
3 Nonlinearity
3 Rocky Mountain Journal of Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 SIAM Journal on Control and Optimization
3 Advances in Applied Mathematics
3 International Journal of Mathematics
3 Celestial Mechanics and Dynamical Astronomy
3 Bulletin des Sciences Mathématiques
3 Transformation Groups
3 Mathematical Physics, Analysis and Geometry
3 Computational Geosciences
2 International Journal of Engineering Science
2 Israel Journal of Mathematics
2 Journal of Computational Physics
2 Journal of Mathematical Analysis and Applications
2 Mathematical Biosciences
2 Reviews in Mathematical Physics
2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Applied Mathematics and Computation
2 Archiv der Mathematik
2 Bulletin de la Société Mathématique de France
2 Demonstratio Mathematica
2 Inventiones Mathematicae
2 Mathematische Zeitschrift
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Physica D
2 Journal of Integral Equations and Applications
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 SIAM Journal on Mathematical Analysis
2 Bulletin of the American Mathematical Society. New Series
2 Journal of Mathematical Sciences (New York)
2 Annales Mathématiques Blaise Pascal
2 Nonlinear Dynamics
2 Qualitative Theory of Dynamical Systems
2 The ANZIAM Journal
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Theoretical and Applied Mechanics
2 Journal of Geometry and Symmetry in Physics
2 African Diaspora Journal of Mathematics
2 Foundations of Physics
2 Journal of Fixed Point Theory and Applications
2 Journal of Physics A: Mathematical and Theoretical
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Acta Mechanica
1 American Mathematical Monthly
1 Archive for History of Exact Sciences
1 General Relativity and Gravitation
1 International Journal of Solids and Structures
1 Journal of Engineering Mathematics
1 Journal of Mathematical Biology
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Mathematische Semesterberichte
1 Moscow University Mathematics Bulletin
1 Nuclear Physics. B
1 Physics Letters. A
1 Theoretical and Mathematical Physics
1 Chaos, Solitons and Fractals
1 Beiträge zur Algebra und Geometrie
1 Acta Mathematica Vietnamica
1 The Annals of Probability
1 Archivum Mathematicum
1 Automatica
1 BIT
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Journal of Computational and Applied Mathematics
1 Journal of Geometry
1 Journal of the Mathematical Society of Japan
1 Journal of Multivariate Analysis
1 Journal of Optimization Theory and Applications
1 Meccanica
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
...and 69 more Serials
all top 5

Cited in 50 Fields

207 Differential geometry (53-XX)
194 Dynamical systems and ergodic theory (37-XX)
187 Mechanics of particles and systems (70-XX)
44 Global analysis, analysis on manifolds (58-XX)
42 Partial differential equations (35-XX)
31 Fluid mechanics (76-XX)
30 Nonassociative rings and algebras (17-XX)
28 Quantum theory (81-XX)
25 Ordinary differential equations (34-XX)
23 Topological groups, Lie groups (22-XX)
23 Statistical mechanics, structure of matter (82-XX)
22 Calculus of variations and optimal control; optimization (49-XX)
20 Manifolds and cell complexes (57-XX)
18 Numerical analysis (65-XX)
18 Systems theory; control (93-XX)
12 Relativity and gravitational theory (83-XX)
10 Probability theory and stochastic processes (60-XX)
9 Operator theory (47-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Biology and other natural sciences (92-XX)
7 Mechanics of deformable solids (74-XX)
6 Algebraic geometry (14-XX)
6 Functional analysis (46-XX)
6 Algebraic topology (55-XX)
5 History and biography (01-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Associative rings and algebras (16-XX)
4 Computer science (68-XX)
3 General and overarching topics; collections (00-XX)
3 Commutative algebra (13-XX)
3 Category theory; homological algebra (18-XX)
3 Difference and functional equations (39-XX)
3 Integral equations (45-XX)
3 Statistics (62-XX)
3 Optics, electromagnetic theory (78-XX)
3 Information and communication theory, circuits (94-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Geometry (51-XX)
2 Convex and discrete geometry (52-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Special functions (33-XX)
1 Approximations and expansions (41-XX)
1 General topology (54-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)
1 Mathematics education (97-XX)

Citations by Year

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