RT Journal Article
T1 Parameter-invariant second-order variational problems in one variable
A1 Muñoz Masqué, Jaime
A1 Pozo Coronado, Luis Miguel
AB A projection is defined such that a second-order Lagrangian density factors through this projection module contact forms if and only if it is parameter invariant. In this way, a geometric interpretation of the parameter invariance conditions is obtained. The above projection is then used to prove the strict factorization of the Poincare-Cartan form attached to a parameter-invariant variational problem thus leading us to state the Hamilton-Cartan formalism, the complete description of symmetries and regularity for such problems. The case of the squared curvature Lagrangian in the plane is analysed especially.
PB Iop science
SN 0305-4470
YR 1998
FD 1998
LK https://hdl.handle.net/20.500.14352/57772
UL https://hdl.handle.net/20.500.14352/57772
LA eng
NO CICYT
DS Docta Complutense
RD 21 abr 2025