In super space (x, θ), as the metric tensor field GAB(x, θ) is given, we calculated the Riemann curvature tensor RDABC of fourth rank and its generalized cyclicity.The equation that must be satisfied by isometry in the super space, i.e. super Killing equation: ξA:B+ηabξB:A=0, is deduced.In flat super space with zero curvature tensor, we have obtained the general solu-tions of the super Killing equation and the commutation relations of the corresponding generators. In the case of constant curvature, we have obtained a special solution of the super Killing equation.
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