References
- M. Anastasiei, Geometry of Lagrangians and semispray on Lie algebroids, BSG Proceedings, 13 (2006) 10–17.
- B. Balcerzak and A. Pierzchalski, Generalized gradients on Lie algebroids, Ann. Glob. Anal. Geom., 44 (3) (2013) 319–337. doi: 10.1007/s10455-013-9368-y
- J. Cortés, M. de León, J.C. Marrero and E. Martínez, Nonholonomic Lagrangian systems on Lie algebroids, Discrete and Continuous Dynamical systems, 24 (2) (2009) 213–271. doi: 10.3934/dcds.2009.24.213
- J. Cortez and E. Martinez, Mechanical control systems on Lie algebroids, IMA Math. Control Inform., 21 (2004) 457–492. doi: 10.1093/imamci/21.4.457
- M. Crampin, Connections of Berwald type, Publ. Math. Debrecen, 57 (3-4) (2000) 455–473.
- R.L. Fernandes, Lie Algebroids, Holonomy and Characteristic Classes, Adv. Math., 170 (2002) 119–179. doi: 10.1006/aima.2001.2070
- J. Grabowski and P. Urbański, Tangent and cotangent lift and graded Lie algebra associated with Lie algebroids, Ann. Global Anal. Geom., 15 (1997) 447–486. doi: 10.1023/A:1006519730920
- J. Grabowski and P. Urbański, Lie algebroids and Poisson-Nijenhuis structures, Rep. Math. Phys., 40 (1997) 195–208. doi: 10.1016/S0034-4877(97)85916-2
- M. de León, J.C. Marrero and E. Martínez, Lagrangian submanifolds and dynamics on Lie algebroids, J. Phys. A: Math. Gen., 38 (2005) 241–308. doi: 10.1088/0305-4470/38/24/R01
- E. Martínez, Lagrangian mechanics on Lie algebroids, Acta Appl. Math., 67 (2001) 295–320. doi: 10.1023/A:1011965919259
- E. Martínez, Classical field theory on Lie algebroids: Multisymplectic formalism, J. Geom. Mechanics, 10 (1) (2018) 93–138. doi: 10.3934/jgm.2018004
- T. Mestdag, A Lie algebroid approach to Lagrangian systems with symmetry, Diff. Geom. Appl., (2005) 523–535.
- E. Peyghan, Berwald-type and Yano-type connections on Lie algebroids, Int. J. Geom. Meth. Mod. Phys., 12 (10) (2015) 1550125 (36 pages). doi: 10.1142/S021988781550125X
- L. Popescu, The geometry of Lie algebroids and applications to optimal control, Annals Univ. Al. I. Cuza, Iasi, series I, Math., 51 (2005) 155–170.
- L. Popescu, Lie algebroids framework for distributional systems, Annals Univ. Al. I. Cuza, Iasi, series I, Math., 55 (2009) 257–274.
- L. Popescu, Geometrical structures on Lie algebroids, Publ. Math. Debrecen, 72 (1-2) (2008) 95–109.
- L. Popescu, A note on Poisson-Lie algebroids, J. Geom. Symmetry Phys., 12 (2008) 63–73.
- L. Popescu, Symmetries of second order differential equations on Lie algebroids, J. Geom. Physics, 117 (2017) 84–98. doi: 10.1016/j.geomphys.2017.03.006
- J. Pradines, Théorie de Lie pour les groupoïdes différentiables. Calcul différentiel dans la catégorie des groupoïdes infinitésimaux, C. R. Acad. Sci. Paris 264 (1967) 245–248.
- J. Szilasi, A Setting for Spray and Finsler Geometry, in: Handbook of Finsler Geometry, Kluwer Aca- demic Publishers, Dordrecht (2003) 1183–1426.
- J. Szilasi and Sz. Vattamány, On the projective geometry of sprays, Diff. Geom. Appl., 12 (2) (2000) 185–206. doi: 10.1016/S0926-2245(00)00011-5
- S. Vacaru, Clifford-Finsler algebroids and nonholonomic Einstein-Dirac structures, J. Math. Phys., 47 (2006) 1–20. doi: 10.1063/1.2339016
- S. Vacaru, Nonholonomic algebroids, Finsler geometry, and Lagrange-Hamilton spaces, Mathematical Sciences, 6 (18) (2012) 2–33.
- A. Weinstein, Lagrangian Mechanics and Grupoids, Fields Institute Communications, 7 (1996) 207–231.