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.
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Manno, G., Vitolo, R. Geometric Aspects of Higher Order Variational Principles on Submanifolds. Acta Appl Math 101, 215–229 (2008). https://doi.org/10.1007/s10440-008-9190-x
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DOI: https://doi.org/10.1007/s10440-008-9190-x