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. © 2008 Springer Science+Business Media B.V.
Manno, G., Vitolo, R. (2008). Geometric aspects of higher order variational principles on submanifolds. ACTA APPLICANDAE MATHEMATICAE, 101(1-3), 215-229 [10.1007/s10440-008-9190-x].
Geometric aspects of higher order variational principles on submanifolds
MANNO, GIOVANNI;
2008
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. © 2008 Springer Science+Business Media B.V.
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