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Odd Invariant Semidensity and Divergence-like Operators on an Odd Symplectic Superspace

O. M. Khudaverdian

dg-gaarXiv:dg-ga/9706004

Abstract

The divergence-like operator on an odd symplectic superspace which acts invariantly on a specially chosen odd vector field is considered. This operator is used to construct an odd invariant semidensity in a geometrically clear way. The formula for this semidensity is similar to the formula of the mean curvature of hypersurfaces in Euclidean space.

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