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Geometric aspects of higher order variational principles on submanifolds

Gianni Manno·Raffaele Vitolo
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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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Gianni Manno, Raffaele Vitolo. 2008-07-02. Geometric aspects of higher order variational principles on submanifolds. https://doi.org/10.1007/s10440-008-9190-x

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