Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2017, Volume 13, Number 4, Pages 353–363
DOI: https://doi.org/10.15407/mag13.04.353 (Mi jmag679) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On compact super quasi-Einstein warped product with nonpositive scalar curvature

Sampa Pahana, Buddhadev Palb, Arindam Bhattacharyyaa

a Jadavpur University, Department of Mathematics, Kolkata-700032, India
b Banaras Hindu University, Institute of Science, Department of Mathematics, Varanasi-221005, India
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DOI: https://doi.org/10.15407/mag13.04.353
Abstract: This note deals with super quasi-Einstein warped product spaces. Here we establish that if $M$ is a super quasi-Einstein warped product space with nonpositive scalar curvature and compact base, then $M$ is simply a Riemannian product space. Next we give an example of super quasi-Einstein space-time. In the last section a warped product is defined on it.
Key words and phrases: Einstein manifold, super quasi-Einstein manifold, Ricci tensor, Hessian tensor, warped product, warping function.
Funding agency Grant number
University Grants Commission 23/06/2013(i)EU-V
The first author is supported by UGC JRF of India 23/06/2013(i)EU-V.
Received: 24.08.2015
Revised: 27.09.2016
Bibliographic databases:
Document Type: Article
MSC: 53C20, 53B20
Language: English
Citation: Sampa Pahan, Buddhadev Pal, Arindam Bhattacharyya, “On compact super quasi-Einstein warped product with nonpositive scalar curvature”, Zh. Mat. Fiz. Anal. Geom., 13:4 (2017), 353–363
Citation in format AMSBIB
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\by Sampa~Pahan, Buddhadev~Pal, Arindam~Bhattacharyya
\paper On compact super quasi-Einstein warped product with nonpositive scalar curvature
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2017
\vol 13
\issue 4
\pages 353--363
\mathnet{http://mi.mathnet.ru/jmag679}
\crossref{https://doi.org/10.15407/mag13.04.353}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000417388000003}
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