Geometric aspects of higher order variational principles on submanifolds
arXiv:math/0602127 · doi:10.1007/s10440-008-9190-x
Abstract
The geometry of jets of submanifolds is studied, with special interest in the relationship with the calculus of variations. A new intrinsic geometric formulation of the variational problem on jets of submanifolds is given. Working examples are provided.
17 pages