Second-order differential invariants of the rotation group O(n) and of its extensions: E(n), P(1,n), G(1,n)

Details Second-order differential invariants of the rotation group O(n) and of its extensions: E(n), P(1,n), G(1,n) Second-order differential invariants of the rotation group O(n) and of its extensions: E(n), P(1,n), G(1,n)

2005-10-10

arxiv.org/abs/math-ph/0510042v1

Acta Appl. Math., 1992, vol. 28, p. 69-92

Physics

Mathematical Physics

19 pages; some misprints of the journal article are corrected

Scientific paper

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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