Full entry |
PDF
(0.3 MB)
Feedback

References:

[1] Anderson, I., Thompson, G.: **The inverse problem of the calculus of variations for ordinary differential equations**. Mem. Amer. Math. Soc. 98 1992 No. 473 MR 1115829 | Zbl 0760.49021

[2] de Andrés, L.C., de León, M., Rodrigues, P.R.: **Canonical connections associated with regular Lagrangians of higher order**. Geom. Dedicata 39 1991 17–28 MR 1116206

[3] Antonelli, P., Bucataru, I.: **KCC theory of a system of second order differential equations**. Handbook of Finsler Geometry Vol. 1 , Antonelli (ed.)Kluwer 2003 83–174 MR 2066445 | Zbl 1105.53017

[4] Bucataru, I., Constantinescu, O., Dahl, M.F.: **A geometric setting for systems of ordinary differential equations**. preprint: arXiv:1011.5799 [math.DG]

[5] Crampin, M.: **Connections of Berwald type**. Publ. Math. Debrecen 57 2000 455–473 MR 1798727 | Zbl 0980.53031

[6] Crampin, M., Sarlet, W., Cantrijn, F.: **Higher-order differential equations and higher-order Lagrangian mechanics**. Math. Proc. Cam. Phil. Soc. 99 1986 565–587 DOI 10.1017/S0305004100064501 | MR 0830369 | Zbl 0609.58049

[7] Crampin, M., Saunders, D.J.: **Affine and projective transformations of Berwald connections**. Diff. Geom. Appl. 25 2007 235–250 DOI 10.1016/j.difgeo.2007.02.001 | MR 2330452 | Zbl 1158.53055

[8] Crampin, M., Saunders, D.J.: **On the geometry of higher-order ordinary differential equations and the Wuenschmann invariant**. Groups, Geometry and Physics , Clemente-Gallardo and Martínez (eds.)Monografía 29, Real Academia de Ciencias de Zaragoza 2007 79–92 MR 2288307

[9] Fritelli, S., Kozameh, C., Newman, E.T.: **Differential geometry from differential equations**. Comm. Math. Phys. 223 2001 383–408 DOI 10.1007/s002200100548 | MR 1864438

[10] Godliński, M., Nurowski, P.: **Third order ODEs and four-dimensional split signature Einstein metrics**. J. Geom. Phys. 56 2006 344–357 DOI 10.1016/j.geomphys.2005.01.011 | MR 2171889

[11] Godliński, M., Nurowski, P.: **Geometry of third-order ODEs**. preprint: arXiv:0902.4129v1 [math.DG]

[12] Saunders, D.J.: **On the inverse problem for even-order ordinary differential equations in the higher-order calculus of variations**. Diff. Geom. Appl. 16 2002 149–166 DOI 10.1016/S0926-2245(02)00065-7 | MR 1893906 | Zbl 1048.34019

[13] Shen, Z.: **Differential Geometry of Spray and Finsler Spaces**. Kluwer 2001 MR 1967666 | Zbl 1009.53004