Second-order differential invariants of the rotation group O(n) and of its extensions: E(n), P(1,n), G(1,n)
Abstract
Functional bases of second-order differential invariants of the Euclid, Poincar\'e, Galilei, conformal, and projective algebras are constructed. The results obtained allow us to describe new classes of nonlinear many-dimensional invariant equations.
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