The moving frame method and invariant subspace under parametric group actions
محورهای موضوعی : Differential geometry
Y. Alipour Fakhri
1
,
Y. Azadi
2
1 - Department of Mathematics, Payame Noor University, Tehran, Iran
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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