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- W2506471319 abstract "The goal of the method of equivalence is to find necessary and sufficient conditions in order that “geometric objects” be “equivalent.” The word equivalent here usually ends up meaning that the geometric objects are mapped onto each other by a class of diffeomorphisms characterized as the set of solutions of a system of differential equations. The necessary and sufficient conditions are found in the form of differential invariants of the geometric object under the class of diffeomorphisms. In this set of lectures we will restrict ourselves to classes of diffeomorphisms which can be described as solutions of a first-order system of differential equations or equivalently by conditions on their Jacobians. We will see that such problems are generally reducible to the following question." @default.
- W2506471319 created "2016-08-23" @default.
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- W2506471319 date "1989-01-01" @default.
- W2506471319 modified "2023-10-16" @default.
- W2506471319 title "1. Equivalence Problems" @default.
- W2506471319 doi "https://doi.org/10.1137/1.9781611970135.ch1" @default.
- W2506471319 hasPublicationYear "1989" @default.
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