paper

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

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