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arxiv: math/0602127 · v4 · submitted 2006-02-07 · 🧮 math.DG

Geometric aspects of higher order variational principles on submanifolds

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keywords submanifoldsgeometricjetsvariationalaspectscalculusexamplesformulation
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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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