Geometric aspects of higher order variational principles on submanifolds

Details Geometric aspects of higher order variational principles on submanifolds Geometric aspects of higher order variational principles on submanifolds

2006-02-07

arxiv.org/abs/math/0602127v4

Acta Applicandae Mathematicae, 101 (2008) 215-229

Mathematics

Differential Geometry

17 pages

Scientific paper

10.1007/s10440-008-9190-x

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.

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