On Pseudo-Petrov Symmetric Riemannian Manifolds

On Pseudo-Petrov Symmetric Riemannian Manifolds

The present paper deals with pseudo-Petrov symmetric Riemannian manifolds whose space-matter tensor satisfies a special condition. Firstly, basic results of pseudo-Petrov symmetric Riemannian manifolds are obtained. Then, pseudo-Petrov symmetric manifolds which are Einstein, quasi-Einstein, and loca...

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Main Authors: Sanjib Kumar Jana, Fusun Nurcan, Amit Kumar Debnath, Joydeep Sengupta
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2016/9615053
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spelling doaj-403d5254e09c4e459338713c6ffdb2922021-07-02T04:13:43ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/96150539615053On Pseudo-Petrov Symmetric Riemannian ManifoldsSanjib Kumar Jana0Fusun Nurcan1Amit Kumar Debnath2Joydeep Sengupta3Department of Mathematics, Balurghat College, Balurghat, Dakshin Dinajpur, West Bengal 733 101, IndiaDepartment of Mathematics, Marmara University, Goztepe Campus, 34722 Istanbul, TurkeyDepartment of Mathematics, University of Gour Banga, Mokdumpur, Malda, West Bengal 732 103, IndiaDepartment of Mathematics, University of Gour Banga, Mokdumpur, Malda, West Bengal 732 103, IndiaThe present paper deals with pseudo-Petrov symmetric Riemannian manifolds whose space-matter tensor satisfies a special condition. Firstly, basic results of pseudo-Petrov symmetric Riemannian manifolds are obtained. Then, pseudo-Petrov symmetric manifolds which are Einstein, quasi-Einstein, and locally decomposable are examined and some theorems involving these manifolds are proved. Finally, two examples proving the existence of pseudo-Petrov symmetric Riemannian manifolds are given.http://dx.doi.org/10.1155/2016/9615053
collection DOAJ
language English
format Article
sources DOAJ
author Sanjib Kumar Jana
Fusun Nurcan
Amit Kumar Debnath
Joydeep Sengupta
spellingShingle Sanjib Kumar Jana
Fusun Nurcan
Amit Kumar Debnath
Joydeep Sengupta
On Pseudo-Petrov Symmetric Riemannian Manifolds
Advances in Mathematical Physics
author_facet Sanjib Kumar Jana
Fusun Nurcan
Amit Kumar Debnath
Joydeep Sengupta
author_sort Sanjib Kumar Jana
title On Pseudo-Petrov Symmetric Riemannian Manifolds
title_short On Pseudo-Petrov Symmetric Riemannian Manifolds
title_full On Pseudo-Petrov Symmetric Riemannian Manifolds
title_fullStr On Pseudo-Petrov Symmetric Riemannian Manifolds
title_full_unstemmed On Pseudo-Petrov Symmetric Riemannian Manifolds
title_sort on pseudo-petrov symmetric riemannian manifolds
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2016-01-01
description The present paper deals with pseudo-Petrov symmetric Riemannian manifolds whose space-matter tensor satisfies a special condition. Firstly, basic results of pseudo-Petrov symmetric Riemannian manifolds are obtained. Then, pseudo-Petrov symmetric manifolds which are Einstein, quasi-Einstein, and locally decomposable are examined and some theorems involving these manifolds are proved. Finally, two examples proving the existence of pseudo-Petrov symmetric Riemannian manifolds are given.
url http://dx.doi.org/10.1155/2016/9615053
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AT fusunnurcan onpseudopetrovsymmetricriemannianmanifolds
AT amitkumardebnath onpseudopetrovsymmetricriemannianmanifolds
AT joydeepsengupta onpseudopetrovsymmetricriemannianmanifolds
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