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 B (i.e; (1). \(dim B=1,\) (2). \(dimB\ge 2\)).
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Acknowledgements
The authors would like to express their heartfelt thanks to the referees for their valuable suggestions.
Funding
The Second author is supported by UGC JRF of India, Ref. No: 1269/(SC)(CSIR-UGC NET DEC. 2016).
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Pal, B., Kumar, P. Characterization of Einstein Poisson warped product space. Afr. Mat. 33, 95 (2022). https://doi.org/10.1007/s13370-022-01029-1
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DOI: https://doi.org/10.1007/s13370-022-01029-1
Keywords
- Einstein manifold
- Warped product
- Levi–Civita contravariant connection
- Poisson structure
- pseudo-Riemannian Poisson manifold