2022/05/30 by Wu, Tong, Wang, Yong, Wang, Xue
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2205.14823
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.