The moving frame method and invariant subspace under parametric group actions
محورهای موضوعی : Differential geometry
Y. Alipour Fakhri
1
(Department of Mathematics, Payame Noor University, Tehran, Iran)
Y. Azadi
2
(Department of Mathematics, Payame Noor University, Tehran, Iran)
کلید واژه: moving frame, Differential equation, First integral, group action, invariant subspace,
چکیده مقاله :
‎For a given subspace as a solution space of a linear ODE‎, ‎we define a special linear parametric group action and prolong it to the jet bundle‎. ‎We determine these group parameters by moving frame method and prove that these group parameters are the first integrals of the given ODE‎. ‎These first integrals are used to construct the general form of operators which preserve given subspace invariant‎.
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