de Saxcé, Géry; Marle, Charles-Michel Presentation of Jean-Marie Souriau’s book ”Structure des systèmes dynamiques”. arXiv:2306.03106 Preprint, arXiv:2306.03106 [math.DS] (2023). MSC: 53D20 37D35 53D05 53D20 53Z05 70G45 70G65 70H15 70H40 81S99 BibTeX Cite \textit{G. de Saxcé} and \textit{C.-M. Marle}, ``Presentation of Jean-Marie Souriau's book ''Structure des syst\`emes dynamiques'''', Preprint, arXiv:2306.03106 [math.DS] (2023) Full Text: arXiv OA License
Marle, Charles-Michel Examples of Gibbs states of mechanical systems with symmetries. (English) Zbl 1468.53064 J. Geom. Symmetry Phys. 58, 55-79 (2020). MSC: 53D05 53D20 53D17 82B03 82B30 PDFBibTeX XMLCite \textit{C.-M. Marle}, J. Geom. Symmetry Phys. 58, 55--79 (2020; Zbl 1468.53064) Full Text: DOI
Marle, Charles-Michel On Gibbs states of mechanical systems with symmetries. (English) Zbl 1459.53074 J. Geom. Symmetry Phys. 57, 45-85 (2020). MSC: 53D05 53D20 53D17 82B03 82B30 PDFBibTeX XMLCite \textit{C.-M. Marle}, J. Geom. Symmetry Phys. 57, 45--85 (2020; Zbl 1459.53074) Full Text: DOI arXiv Euclid
Koszul, Jean-Louis; Zou, Yi Ming [Boyom, Michel Nguiffo; Barbaresco, Frédéric; Marle, Charles-Michel] Introduction to symplectic geometry. (English) Zbl 1433.53002 Singapore: Springer (ISBN 978-981-13-3986-8/hbk; 978-981-13-3987-5/ebook). l, 121 p. (2019). Reviewer: Pablo Suárez-Serrato (Ciudad de México) MSC: 53-01 53D05 53D17 58A32 62B11 PDFBibTeX XMLCite \textit{J.-L. Koszul} and \textit{Y. M. Zou}, Introduction to symplectic geometry. Singapore: Springer (2019; Zbl 1433.53002) Full Text: DOI
Marle, Charles-Michel Symmetries of Hamiltonian systems on symplectic and Poisson manifolds. (English) Zbl 1304.70020 Ganghoffer, Jean-François (ed.) et al., Similarity and symmetry methods. Applications in elasticity and mechanics of materials. Lecture notes given at the EUROMECH workshop ‘Similarity, symmetry and group theoretical methods in mechanics, Varna, Bulgaria, June 6–9, 2013. Cham: Springer (ISBN 978-3-319-08295-0/hbk; 978-3-319-08296-7/ebook). Lecture Notes in Applied and Computational Mechanics 73, 185-269 (2014). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 70H33 70G65 70G45 70E17 PDFBibTeX XMLCite \textit{C.-M. Marle}, Lect. Notes Appl. Comput. Mech. 73, 185--269 (2014; Zbl 1304.70020) Full Text: DOI arXiv
Marle, Charles-Michel A property of conformally Hamiltonian vector fields; application to the Kepler problem. (English) Zbl 1417.37187 J. Geom. Mech. 4, No. 2, 181-206 (2012). MSC: 37J05 53D05 70F05 70G45 70H05 70H33 PDFBibTeX XMLCite \textit{C.-M. Marle}, J. Geom. Mech. 4, No. 2, 181--206 (2012; Zbl 1417.37187) Full Text: DOI arXiv
Marle, Charles-Michel The inception of symplectic geometry: The works of Lagrange and Poisson during the years 1808-1810. (English) Zbl 1189.53003 Lett. Math. Phys. 90, No. 1-3, 3-21 (2009). Reviewer: Roman Duda (Wrocław) MSC: 53-03 01A55 53D05 53D17 70F15 PDFBibTeX XMLCite \textit{C.-M. Marle}, Lett. Math. Phys. 90, No. 1--3, 3--21 (2009; Zbl 1189.53003) Full Text: DOI arXiv
Marle, Charles-Michel Calculus on Lie algebroids, Lie groupoids and Poisson manifolds. (English) Zbl 1152.58307 Diss. Math. 457, 57 p. (2008). MSC: 58H05 53D17 58-02 PDFBibTeX XMLCite \textit{C.-M. Marle}, Diss. Math. 457, 57 p. (2008; Zbl 1152.58307) Full Text: DOI arXiv
Marle, Charles-Michel From momentum maps and dual pairs to symplectic and Poisson groupoids. (English) Zbl 1093.53089 Marsden, Jerrold E. (ed.) et al., The breadth of symplectic and Poisson geometry. Festschrift in honor of Alan Weinstein. Boston, MA: Birkhäuser (ISBN 0-8176-3565-3/hbk). Progress in Mathematics 232, 493-523 (2005). Reviewer: Jan Kubarski (Łódź) MSC: 53D20 53D17 53D05 70G45 PDFBibTeX XMLCite \textit{C.-M. Marle}, Prog. Math. 232, 493--523 (2005; Zbl 1093.53089)
Marle, Charles-Michel On mechanical systems with a Lie group as configuration space. (English) Zbl 1037.37024 de Gosson, Maurice (ed.), Jean Leray ’99 conference proceedings. The Karlskrona conference, Sweden, August 1999 in honor of Jean Leray. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1378-7/hbk). Math. Phys. Stud. 24, 183-203 (2003). Reviewer: Jan Chrastina (Brno) MSC: 37J05 53D20 70G45 70F10 35Q53 70H05 76M60 37J15 PDFBibTeX XMLCite \textit{C.-M. Marle}, Math. Phys. Stud. 24, 183--203 (2003; Zbl 1037.37024)
Marle, Charles-Michel Differential calculus on a Lie algebroid and Poisson manifolds. (English) Zbl 1031.53114 Albuquerque, Helena (ed.) et al., The J. A. Pereira da Silva birthday schrift on the occasion of his 60th birthday. Coimbra: Universidade de Coimbra, Departamento de Matemática. Textos Mat., Sér. B. 32, 83-149 (2002). Reviewer: Elena Hirica (Bucureşti) MSC: 53D17 22A22 PDFBibTeX XMLCite \textit{C.-M. Marle}, in: The J. A. Pereira da Silva birthday schrift on the occasion of his 60th birthday. Coimbra: Universidade de Coimbra, Departamento de Matemática. 83--149 (2002; Zbl 1031.53114) Full Text: arXiv
Marle, Charles-Michel On submanifolds and quotients of Poisson and Jacobi manifolds. (English) Zbl 0988.53039 Grabowski, Janusz (ed.) et al., Poisson geometry. Stanisław Zakrzewski in memoriam. Warszawa: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 51, 197-209 (2000). MSC: 53D17 70H05 70F25 53C40 PDFBibTeX XMLCite \textit{C.-M. Marle}, Banach Cent. Publ. 51, 197--209 (2000; Zbl 0988.53039) Full Text: EuDML Link
Marle, Charles-Michel Various approaches to conservative and nonconservative nonholonomic systems. (English) Zbl 0931.37023 Rep. Math. Phys. 42, No. 1-2, 211-229 (1998). Reviewer: Roland Wisk (Berlin) MSC: 37J60 37K05 70H33 37J15 70F25 PDFBibTeX XMLCite \textit{C.-M. Marle}, Rep. Math. Phys. 42, No. 1--2, 211--229 (1998; Zbl 0931.37023) Full Text: DOI
Nunes da Costa, Joana Margarida; Marle, Charles-Michel Reduction of bihamiltonian manifolds and recursion operators. (English) Zbl 0862.58025 Janyška, Josef (ed.) et al., Differential geometry and applications. Proceedings of the 6th international conference, Brno, Czech Republic, August 28–September 1, 1995. Brno: Masaryk University. 523-538 (1996). Reviewer: Yu.E.Gliklikh (Voronezh) MSC: 53D20 53D17 37J15 PDFBibTeX XMLCite \textit{J. M. Nunes da Costa} and \textit{C.-M. Marle}, in: Differential geometry and applications. Proceedings of the 6th international conference, Brno, Czech Republic, August 28--September 1, 1995. Brno: Masaryk University. 523--538 (1996; Zbl 0862.58025)
Dazord, Pierre; Lichnerowicz, André; Marle, Charles-Michel Structure locale des variétés de Jacobi. (Local structure of Jacobi manifolds). (English) Zbl 0659.53033 J. Math. Pures Appl., IX. Sér. 70, No. 1, 101-152 (1991). Reviewer: P.Dazord MSC: 53C15 37J99 17B65 PDFBibTeX XMLCite \textit{P. Dazord} et al., J. Math. Pures Appl. (9) 70, No. 1, 101--152 (1991; Zbl 0659.53033)
Marle, Charles-Michel On Jacobi manifolds and Jacobi bundles. (English) Zbl 0735.53023 Symplectic geometry, groupoids, and integrable systems, Sémin. Sud- Rhodan. Geom. VI, Berkeley/CA (USA) 1989, Math. Sci. Res. Inst. Publ. 20, 227-246 (1991). Reviewer: C.Günther (Libby) MSC: 53C15 37J99 PDFBibTeX XMLCite \textit{C.-M. Marle}, Math. Sci. Res. Inst. Publ. None, 227--246 (1991; Zbl 0735.53023)
Libermann, Paulette; Marle, Charles-Michel Symplectic geometry and analytical mechanics. Transl. from the French by Bertram Eugene Schwarzbach. (English) Zbl 0643.53002 Mathematics and its Applications, 35. Dordrecht etc.: D. Reidel Publishing Company, a member of the Kluwer Academic Publishers Group. XVI, 526 p.; Dfl. 210.00; $ 89.00; £73.50 (1987). MSC: 53-01 53-02 53C15 58-01 74Axx 70Hxx 53D50 PDFBibTeX XML
Libermann, Paulette; Marle, Charles-Michel Géométrie symplectique. Bases théoriques de la mécanique. (Symplectic geometry. Theoretical fundaments of mechanics). Tomes I-IV. (French) Zbl 0643.53001 Publications Mathématiques de l’Université Paris VII, 21. Paris: U.E.R. de Mathématiques. I: IX, 176 p.; II: IV, 211 p.; III: VII, 196 p.; IV: VI, 158 p. (1986). Reviewer: A.Crumeyrolle MSC: 53-01 53-02 53C15 58-01 53D50 74Axx 70Hxx PDFBibTeX XML
Marle, Ch.-M. Quelques propriétés des variétés de Jacobi. (Some properties of Jacobi manifolds). (French) Zbl 0621.58022 Géométrie symplectique et mécanique, Rencontre Balaruc/France 1983, Sémin. Sud-rhodanien Géom. 125-139 (1985). Reviewer: I.Vaisman MSC: 37J99 PDFBibTeX XML
Marle, C.-M. Lie group actions on a canonical manifold. (English) Zbl 0526.58021 Symplectic geometry, Res. Notes Math. 80, 144-166 (1983). MSC: 37J99 57S25 37C85 PDFBibTeX XML