Cariñena, José F.; Figueroa, Héctor; Guha, Partha A primer on noncommutative classical dynamics on velocity phase space and Souriau formalism. (English) Zbl 07916456 Hounkonnou, Mahouton Norbert (ed.) et al., Algebra without borders – classical and constructive nonassociative algebraic structures. Foundations and applications. Invited papers based on the presentations at the 1st conference, CaCNAS: FA 2021, virtual, June 30 – July 2, 2021. Cham: Springer. STEAM-H, Sci. Technol. Eng. Agric. Math. Health, 533-568 (2023). MSC: 17B81 53D17 81R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kouotchop Wamba, P. M.; Wankap Nono, G. F. Vertical lifts of higher order of multivector fields and applications to Poisson geometry. (English) Zbl 1528.58004 Lobachevskii J. Math. 44, No. 7, 2979-2993 (2023). Reviewer: Miroslav Doupovec (Brno) MSC: 58A20 53D17 53C15 × Cite Format Result Cite Review PDF Full Text: DOI
Flari, Magdalini K.; Mackenzie, Kirill Warps, grids and curvature in triple vector bundles. (English) Zbl 1412.53038 Lett. Math. Phys. 109, No. 1, 135-185 (2019). Reviewer: Ioan Pop (Iaşi) MSC: 53C05 18D05 18D35 55R65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mba, A.; Wamba, P. M. K.; Nimpa, R. P. Vertical and horizontal lifts of multivector fields and applications. (English) Zbl 1369.53060 Lobachevskii J. Math. 38, No. 1, 1-15 (2017). Reviewer: Iakovos Androulidakis (Athína) MSC: 53D17 53C15 × Cite Format Result Cite Review PDF Full Text: DOI
Jiménez, Fernando; Yoshimura, Hiroaki Dirac structures in vakonomic mechanics. (English) Zbl 1345.70031 J. Geom. Phys. 94, 158-178 (2015). MSC: 70H45 70F25 70H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wamba, P. M. Kouotchop; Ntyam, Achille Prolongations of Dirac structures related to Weil bundles. (English) Zbl 1320.53105 Lobachevskii J. Math. 35, No. 2, 106-121 (2014). Reviewer: Michal Jozwikowski (Warszawa) MSC: 53D17 53C15 × Cite Format Result Cite Review PDF Full Text: DOI
Li-Bland, David Pseudo-Dirac structures. (English) Zbl 1314.53136 Indag. Math., New Ser. 25, No. 5, 1054-1101 (2014). Reviewer: Nenad Manojlović (Faro) MSC: 53D17 53D05 81S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jotz, M.; Ratiu, T. S.; Zambon, M. Invariant frames for vector bundles and applications. (English) Zbl 1319.70018 Geom. Dedicata 158, 23-34 (2012). MSC: 70G65 70H45 70H33 × Cite Format Result Cite Review PDF Full Text: DOI
Leok, Melvin; Ohsawa, Tomoki Variational and geometric structures of discrete Dirac mechanics. (English) Zbl 1231.70016 Found. Comput. Math. 11, No. 5, 529-562 (2011). MSC: 70H45 70F25 37J60 65P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bursztyn, Henrique; Cabrera, Alejandro; Ortiz, Cristián Linear and multiplicative 2-forms. (English) Zbl 1206.58005 Lett. Math. Phys. 90, No. 1-3, 59-83 (2009). Reviewer: Robert A. Wolak (Kraków) MSC: 58H05 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yoshimura, Hiroaki; Marsden, Jerrold E. Reduction of Dirac structures and the Hamilton-Pontryagin principle. (English) Zbl 1141.53081 Rep. Math. Phys. 60, No. 3, 381-426 (2007). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53D55 × Cite Format Result Cite Review PDF Full Text: DOI
Yoshimura, Hiroaki; Marsden, Jerrold E. Dirac structures in Lagrangian mechanics. II: Variational structures. (English) Zbl 1121.53057 J. Geom. Phys. 57, No. 1, 209-250 (2006). MSC: 53D17 37J05 49J15 70G45 70H03 70H45 94C05 × Cite Format Result Cite Review PDF Full Text: DOI
Yoshimura, Hiroaki; Marsden, Jerrold E. Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems. (English) Zbl 1107.53053 J. Geom. Phys. 57, No. 1, 133-156 (2006). MSC: 53D17 37J05 70F25 70G45 70H03 70H45 94C05 × Cite Format Result Cite Review PDF Full Text: DOI
Vaisman, Izu Tangent Dirac structures and submanifolds. (English) Zbl 1081.53071 Int. J. Geom. Methods Mod. Phys. 2, No. 5, 759-775 (2005). Reviewer: Angela Gammella (Creil) MSC: 53D17 53D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grabowski, Janusz; Urbański, Paweł On characterization of Poisson and Jacobi structures. (English) Zbl 1028.17015 Cent. Eur. J. Math. 1, No. 1, 123-140 (2003). Reviewer: Angela Gammella (Metz) MSC: 17B62 53D17 58H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mackenzie, K. C. H. Double Lie algebroids and second-order geometry. II. (English) Zbl 0971.58015 Adv. Math. 154, No. 1, 46-75 (2000). Reviewer: Mircea Craioveanu (Timişoara) MSC: 58H05 22A22 × Cite Format Result Cite Review PDF Full Text: DOI
Grabowski, Janusz; Urbański, Paweł Lie algebroids and Poisson-Nijenhuis structures. (English) Zbl 1005.53061 Rep. Math. Phys. 40, No. 2, 195-208 (1997). MSC: 53D17 17B63 58H05 22A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mackenzie, Kirill C. H.; Xu, Ping Lie bialgebroids and Poisson groupoids. (English) Zbl 0844.22005 Duke Math. J. 73, No. 2, 415-452 (1994). Reviewer: P.Dazord (Villeurbanne) MSC: 22A22 58H05 17B66 53D17 × Cite Format Result Cite Review PDF Full Text: DOI