Inverse problem of the calculus of variations on Lie groups

[1]  J. Douglas.  Solution of the Inverse Problem of the Calculus of Variations. , 1939, Proceedings of the National Academy of Sciences of the United States of America.

[2]  Jesse Douglas.  Solution of the inverse problem of the calculus of variations , 1941 .

[3]  A. Nijenhuis,et al.  Theory of vector-valued differential forms part II.: Almost-Complex Structures , 1958 .

[4]  C. Godbillon.  Géométrie différentielle et mécanique analytique , 1969 .

[5]  Joseph Grifone,et al.  Structure presque tangente et connexions I , 1972 .

[6]  J. Milnor.  Curvatures of left invariant metrics on lie groups , 1976 .

[7]  S. Helgason.  Differential Geometry, Lie Groups, and Symmetric Spaces , 1978 .

[8]  I. Anderson.  Aspects of the Inverse Problem to the Calculus of Variations , 1988 .

[9]  S. Chern,et al.  Exterior Differential Systems , 1990 .

[10]  I. Anderson,et al.  The Inverse Problem in the Calculus of Variations for Ordinary Differen-tial Equations , 1992 .

[11]  M. Fels,et al.  The inverse problem of the calculus of variations for scalar fourth-order ordinary differential equations , 1996 .

[12]  M. Crampin,et al.  The Integrability Conditions in the Inverse Problem of the Calculus of Variations for Second-Order Ordinary Differential Equations , 1998 .

[13]  J. Grifone,et al.  Sur le problème inverse du calcul des variations : existence de lagrangiens associés à un spray dans le cas isotrope , 1999 .

[14]  Z. Muzsnay,et al.  Variational Principles for Second Order Differential Equations: Application of the Spencer Theory to Characterize Variational Sprays , 2000 .

[15]  Niky Kamran.  The inverse problem of the calculus of variations , 2002 .

[16]  Variational connections on Lie groups , 2003 .