Super twisted products

Fuente: arXiv
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Hauptverfasser: Wu, Tong, Wang, Yong, Wang, Xue
Format: Preprint
Veröffentlicht: 2022
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author Wu, Tong
Wang, Yong
Wang, Xue
author_facet Wu, Tong
Wang, Yong
Wang, Xue
contents In this paper, we define the $W_2$-curvature tensor on super Riemannian manifolds. And we compute the curvature tensor, the Ricci tensor and the $W_2$-curvature tensor on super twisted product spaces. Furthermore, we investigate the $W_2$-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.
format Preprint
id arxiv_https___arxiv_org_abs_2205_14823
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Super twisted products
Wu, Tong
Wang, Yong
Wang, Xue
Differential Geometry
In this paper, we define the $W_2$-curvature tensor on super Riemannian manifolds. And we compute the curvature tensor, the Ricci tensor and the $W_2$-curvature tensor on super twisted product spaces. Furthermore, we investigate the $W_2$-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.
title Super twisted products
topic Differential Geometry
url https://arxiv.org/abs/2205.14823