English

Characterization of Einstein Poisson warped product space

Differential Geometry 2022-02-08 v3

Abstract

In this article, we study the problem of the existence and nonexistence of warping function associated with constant scalar curvature on pseudo-Riemannian Poisson warped product space under the assumption that fiber space has constant scalar curvature. We characterize the warping function on Einstein Poisson warped space by taking the various dimensions of base space BB (i.e; (1). dimB=1,dim B=1, (2). dimB=2,dim B=2, (3). dimB3dim B\geq3).

Keywords

Cite

@article{arxiv.2201.13134,
  title  = {Characterization of Einstein Poisson warped product space},
  author = {B. Pal and P. Kumar},
  journal= {arXiv preprint arXiv:2201.13134},
  year   = {2022}
}
R2 v1 2026-06-24T09:10:27.507Z