Super twisted products

Abstract

In this paper, we define the W2-curvature tensor on super Riemannian manifolds. And we compute the curvature tensor, the Ricci tensor and the W2-curvature tensor on super twisted product spaces. Furthermore, we investigate the W2-curvature flat super twisted product manifolds. And, we get a result that a mixed Ricci-flat super twisted product semi-Riemannian manifold can be expressed as a super warped product semi-Riemannian manifold.

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