English

Super twisted products

Differential Geometry 2024-02-13 v3

Abstract

In this paper, we define the W2W_2-curvature tensor on super Riemannian manifolds. And we compute the curvature tensor, the Ricci tensor and the W2W_2-curvature tensor on super twisted product spaces. Furthermore, we investigate the W2W_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.

Keywords

Cite

@article{arxiv.2205.14823,
  title  = {Super twisted products},
  author = {Tong Wu and Yong Wang and Xue Wang},
  journal= {arXiv preprint arXiv:2205.14823},
  year   = {2024}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2201.08937, arXiv:2112.00887

R2 v1 2026-06-24T11:32:36.981Z