Intrinsic Parameterization of Supermanifold Morphisms from ${\mathbb{R}}^{0\mathrm{\mid }2}$ via Decomposable Bivector Bundles

We present an intrinsic geometric classification of the supermanifold of maps from ${\mathbb{R}}^{0\mathrm{\mid }2}$ to any smooth manifold $S$, avoiding auxiliary structures. The key isomorphism relates this space to the pullback of the decomposable bivector bundle over $S$, shown via algebraic constraints forcing odd vectors to be linearly dependent. The reduced manifold has fiber dimension $\dim S+1$, unifying topological or algebraic views for a canonical framework in supersymmetric theories, distinct from prior works using connections.