Dobrogowska, Alina; Jakimowicz, Grzegorz; Szajewska, Marzena On some structures of Lie algebroids on the cotangent bundles. (English) Zbl 07914660 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXIX. Workshop, Białystok, Poland, June 19–25, 2022. Cham: Birkhäuser. Trends Math., 169-176 (2023). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 × Cite Format Result Cite Review PDF Full Text: DOI
Dobrogowska, Alina; Jakimowicz, Grzegorz A new look at Lie algebras. (English) Zbl 1522.17037 J. Geom. Phys. 192, Article ID 104959, 17 p. (2023). MSC: 17B99 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dobrogowska, Alina; Jakimowicz, Grzegorz Generalization of the concept of classical \(r\)-matrix to Lie algebroids. (English) Zbl 1480.53103 J. Geom. Phys. 165, Article ID 104227, 15 p. (2021). MSC: 53D55 81R50 × Cite Format Result Cite Review PDF Full Text: DOI
Laurent-Gengoux, Camille; Voglaire, Yannick Invariant connections and PBW theorem for Lie groupoid pairs. (English) Zbl 1464.53025 Pac. J. Math. 303, No. 2, 605-667 (2019). MSC: 53C05 53C30 53C12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dobrogowska, Alina; Jakimowicz, Grzegorz Tangent lifts of bi-Hamiltonian structures. (English) Zbl 1372.37104 J. Math. Phys. 58, No. 8, 083505, 15 p. (2017). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 37J05 53D17 37J35 × Cite Format Result Cite Review PDF Full Text: DOI
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
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
Voronov, Theodore Th. \(Q\)-manifolds and Mackenzie theory. (English) Zbl 1261.53080 Commun. Math. Phys. 315, No. 2, 279-310 (2012). Reviewer: Cornelia-Livia Bejan (Iaşi) MSC: 53D17 58H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cariñena, José F.; Nunes da Costa, Joana M.; Santos, Patrícia Reduction of Lie algebroid structures. (English) Zbl 1081.53069 Int. J. Geom. Methods Mod. Phys. 2, No. 5, 965-991 (2005). Reviewer: Angela Gammella (Creil) MSC: 53D17 53D10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Iglesias-Ponte, David; Marrero, Juan C. Jacobi groupoids and generalized Lie bialgebroids. (English) Zbl 1037.17023 J. Geom. Phys. 48, No. 2-3, 385-425 (2003). Reviewer: Angela Gammella (Metz) MSC: 17B63 53D10 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martínez, Eduardo; Mestdag, Tom; Sarlet, Willy Lie algebroid structures and Lagrangian systems on affine bundles. (English) Zbl 1010.37032 J. Geom. Phys. 44, No. 1, 70-95 (2002). MSC: 37J05 53D17 70G45 58H05 70H03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tulczyjew, Włodzimierz M.; Urbański, Paweł Differential forms on vector bundles. (English) Zbl 0978.53129 Rep. Math. Phys. 45, No. 3, 357-370 (2000). MSC: 53D17 17B63 58A10 × Cite Format Result Cite Review PDF Full Text: DOI
Grabowski, J.; Urbański, P. Algebroids – general differential calculi on vector bundles. (English) Zbl 0954.17014 J. Geom. Phys. 31, No. 2-3, 111-141 (1999). Reviewer: Martin Schlichenmaier (Mannheim) MSC: 17B66 58H05 53D17 17B63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv