Invariant Theory , Equivalence Problems , and the Calculus of Variations

نویسنده

  • PETER J. OLVER
چکیده

This paper surveys some recent connections between classical invariant theory and the calculus of variations, stemming from the mathematical theory of elasticity. Particular problems to be treated include the equivalence problem for binary forms, covari-ants of biforms, canonical forms for quadratic variational problems, and the equivalence problem for particle Lagrangians. It is shown how these problems are interrelated, and results in one have direct applications to the other.

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تاریخ انتشار 1988