Abstract
A new geometrical formalism is suggested for the non-minimal and alternative minimal supergravities. This formalism connects the constrained superspace formulations with the unconstrained ones and is based on the notion of induced geometry. The relevant mathematical technique is that ofG-structures. A clear-cut geometrical content of the torsion and curvature constraints is revealed on the basis of a general theorem about the necessary and sufficient properties of induced geometry.
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