Dobrogowska, Alina; Szajewska, Marzena Eigenvalue problem versus Casimir functions for Lie algebras. (English) Zbl 07830211 Anal. Math. Phys. 14, No. 2, Paper No. 33, 24 p. (2024). MSC: 17B05 17B63 53D17 × Cite Format Result Cite Review PDF Full Text: DOI
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
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
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
Grabowska, Katarzyna; Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe Lifting statistical structures. (English) Zbl 1514.53055 Rev. Math. Phys. 35, No. 2, Article ID 2250042, 51 p. (2023). MSC: 53B12 58H05 22A22 53B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grabowska, Katarzyna; Grabowski, Janusz A geometric approach to contact Hamiltonians and contact Hamilton-Jacobi theory. (English) Zbl 1511.53071 J. Phys. A, Math. Theor. 55, No. 43, Article ID 435204, 34 p. (2022). MSC: 53D10 35F21 37J55 70G45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grabowska, Katarzyna; Grabowski, Janusz; Ravanpak, Zohreh VB-structures and generalizations. (English) Zbl 1508.53032 Ann. Global Anal. Geom. 62, No. 1, 235-284 (2022). MSC: 53C15 53D17 57R22 58A32 58A20 58A30 58D19 58C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Geudens, Stephane; Zambon, Marco Deformations of Lagrangian submanifolds in log-symplectic manifolds. (English) Zbl 1493.53104 Adv. Math. 397, Article ID 108202, 85 p. (2022). Reviewer: Albert Sheu (Lawrence) MSC: 53D12 53D17 58H15 16E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Esen, Oğul; de León, Manuel; Sardón, Cristina; Zając, Marcin Cauchy data space and multisymplectic formulation of conformal classical field theories. (English) Zbl 1482.81036 Ann. Phys. 434, Article ID 168616, 26 p. (2021). MSC: 81T45 53D05 35G16 70H20 × 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
Craizer, Marcos; Domitrz, Wojciech; Rios, Pedro de M. Singular improper affine spheres from a given Lagrangian submanifold. (English) Zbl 1454.53011 Adv. Math. 374, Article ID 107326, 33 p. (2020). Reviewer: Atsushi Fujioka (Osaka) MSC: 53A15 53D12 58K40 58K70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dobrogowska, Alina; Jakimowicz, Grzegorz; Wojciechowicz, Karolina On some deformations of the Poisson structure associated with the algebroid bracket of differential forms. (English) Zbl 1446.53065 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 13-23 (2019). MSC: 53D17 37J39 × Cite Format Result Cite Review PDF Full Text: DOI
Grabowska, Katarzyna; Urbański, Pawel Geometry of Routh reduction. (English) Zbl 1448.70050 J. Geom. Mech. 11, No. 1, 23-44 (2019). MSC: 70H33 53D20 70H03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De León, M.; Sardón, C. A geometric Hamilton-Jacobi theory on a Nambu-Jacobi manifold. (English) Zbl 1423.53099 Int. J. Geom. Methods Mod. Phys. 16, Suppl. 1, Article ID 1940007, 17 p. (2019). MSC: 53D17 70H20 35F21 53D12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bruce, Andrew James; Grabowski, Janusz Pre-Courant algebroids. (English) Zbl 1478.53135 J. Geom. Phys. 142, 254-273 (2019). Reviewer: Iakovos Androulidakis (Athína) MSC: 53D17 58A50 17A32 17B99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe; Shulman, Tatiana Geometry of quantum dynamics in infinite-dimensional Hilbert space. (English) Zbl 1390.81149 J. Phys. A, Math. Theor. 51, No. 16, Article ID 165301, 35 p. (2018). MSC: 81Q05 70S05 70H45 53Z05 81S05 53D50 53D12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lang, Honglei; Liu, Zhangju Coadjoint orbits of Lie groupoids. (English) Zbl 1388.58013 J. Geom. Phys. 129, 217-232 (2018). MSC: 58H05 53D17 × 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
De Nicola, Antonio; Esposito, Chiara Reduction of pre-Hamiltonian actions. (English) Zbl 1371.53076 J. Geom. Phys. 115, 178-190 (2017). MSC: 53D05 53D17 37J15 34C20 34A05 × 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
de León, M.; Sardón, C. Geometric Hamilton-Jacobi theory on Nambu-Poisson manifolds. (English) Zbl 1380.70044 J. Math. Phys. 58, No. 3, 033508, 15 p. (2017). MSC: 70H20 70H05 53D17 70G45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bessho, Taiki; Heller, Marc A.; Ikeda, Noriaki; Watamura, Satoshi Topological membranes, current algebras and H-flux-R-flux duality based on Courant algebroids. (English) Zbl 1388.53091 J. High Energy Phys. 2016, No. 4, Paper No. 170, 41 p. (2016). MSC: 53D17 53D18 37K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grabowska, Katarzyna; Zając, Marcin The Tulczyjew triple in mechanics on a Lie group. (English) Zbl 1354.22022 J. Geom. Mech. 8, No. 4, 413-435 (2016). MSC: 22E70 53D05 53Z05 70E17 70H33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bruce, Andrew James; Grabowski, Janusz; Rotkiewicz, Mikołaj Polarisation of graded bundles. (English) Zbl 1359.58003 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 106, 30 p. (2016). MSC: 58A32 58A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dębecki, Jacek Linear natural operators lifting \(p\)-vectors to tensors of type \((q,0)\) on Weil bundles. (English) Zbl 1378.58004 Czech. Math. J. 66, No. 2, 511-525 (2016). Reviewer: Jan Kurek (Lublin) MSC: 58A32 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bruce, Andrew James; Grabowska, Katarzyna; Grabowski, Janusz Linear duals of graded bundles and higher analogues of (Lie) algebroids. (English) Zbl 1334.58002 J. Geom. Phys. 101, 71-99 (2016). MSC: 58A50 53C10 53D17 55R10 × 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
Grabowski, Janusz Graded contact manifolds and contact Courant algebroids. (English) Zbl 1280.53070 J. Geom. Phys. 68, 27-58 (2013). MSC: 53D10 58A50 53D05 53D17 53D35 58C50 17B62 17B63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jóźwikowski, Michał Jacobi vector fields for Lagrangian systems on algebroids. (English) Zbl 1387.70029 Int. J. Geom. Methods Mod. Phys. 10, No. 5, Article ID 1350011, 35 p. (2013). MSC: 70S05 17B99 53D17 70H03 70H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grabowski, Janusz Modular classes of skew algebroid relations. (English) Zbl 1287.53072 Transform. Groups 17, No. 4, 989-1010 (2012). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 58B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shurygin, V. V. jun. Lifts of Poisson structures to Weil bundle. (English) Zbl 1257.53113 Lobachevskii J. Math. 33, No. 1, 75-107 (2012). Reviewer: Miroslav Doupovec (Brno) MSC: 53D17 58A32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bursztyn, Henrique; Cabrera, Alejandro Multiplicative forms at the infinitesimal level. (English) Zbl 1247.58014 Math. Ann. 353, No. 3, 663-705 (2012). Reviewer: M. Habil Gürsoy (Malatya) MSC: 58H05 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arnal, Didier; Dahmene, Najla Lifts of formalities. (Relèvements de formalités.) (English) Zbl 1268.53100 Ann. Fac. Sci. Toulouse, Math. (6) 20, No. 1, 215-229 (2011). MSC: 53D55 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
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
Grabowski, Janusz; de León, Manuel; Marrero, J. C.; Martín de Diego, D. Nonholonomic constraints: a new viewpoint. (English) Zbl 1200.37057 J. Math. Phys. 50, No. 1, 013520, 17 p. (2009). MSC: 37J60 53D99 70F25 70G45 70H03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grabowski, Janusz; Rotkiewicz, Mikołaj Higher vector bundles and multi-graded symplectic manifolds. (English) Zbl 1171.58300 J. Geom. Phys. 59, No. 9, 1285-1305 (2009). MSC: 58A50 53D05 53D17 58C50 17B62 17B63 18D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grabowski, J.; Iglesias, D.; Marrero, J. C.; Padrón, E.; Urbański, P. Jacobi structures on affine bundles. (English) Zbl 1128.53054 Acta Math. Sin., Engl. Ser. 23, No. 5, 769-788 (2007). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dȩbecki, Jacek Some liftings of Poisson structures to Weil bundles. (English) Zbl 1164.58308 Czech. Math. J. 56, No. 2, 677-687 (2006). MSC: 58A32 53D17 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Dȩbecki, Jacek Linear liftings of skew-symmetric tensor fields to Weil bundles. (English) Zbl 1081.53015 Czech. Math. J. 55, No. 3, 809-816 (2005). MSC: 53A55 58A32 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link
Giachetta, G.; Mangiarotti, L.; Sardanashvily, G. Jacobi fields of completely integrable Hamiltonian systems. (English) Zbl 1011.37034 Phys. Lett., A 309, No. 5-6, 382-386 (2003). MSC: 37J35 × 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
Iglesias, David; Marrero, Juan C. Generalized Lie bialgebroids and Jacobi structures. (English) Zbl 1001.17025 J. Geom. Phys. 40, No. 2, 176-199 (2001). Reviewer: Janusz Grabowski (Warszawa) MSC: 17B62 53D17 53D10 × 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
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
de León, Manuel; Marrero, Juan C.; Padrón, Edith On the geometric quantization of Jacobi manifolds. (English) Zbl 0898.58024 J. Math. Phys. 38, No. 12, 6185-6213 (1997). MSC: 53D50 81S10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ibáñez, Raúl; de León, Manuel; Marrero, Juan C.; Martín de Diego, David Dynamics of generalized Poisson and Nambu-Poisson brackets. (English) Zbl 0878.58024 J. Math. Phys. 38, No. 5, 2332-2344 (1997). MSC: 37J99 37J35 37K10 70G45 × Cite Format Result Cite Review PDF Full Text: DOI Link