Some curvature tensors in N(k)-contact metric manifold

Some curvature tensors in N(k)-contact metric manifold

<p>The purpose of this paper is to study W7and W9-curvature tensors on N(k)-contact metric manifolds. We prove that a N(k)-contact metric manifold satisfying the condition W7( xi,X).W9=0 is eta-Einstein manifold. We also obtain the Ricci tensor S of type (0, 2) for phi-W9flat and divW9=0 condi...

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Bibliographic Details
Main Author: Riddhi Jung Shah
Format: Article
Language:English
Published: Department of Physics, Mahendra Morang Adarsh Multiple Campus, Tribhuvan University 2018-11-01
Series:Bibechana
Subjects:
contact manifold
N(k)-contact metric manifold
eta-Einstein
Online Access:https://www.nepjol.info/index.php/BIBECHANA/article/view/19674
id doaj-f6736fdf08214af6886c73a8c4c7af1b
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spelling doaj-f6736fdf08214af6886c73a8c4c7af1b2020-11-25T03:03:55ZengDepartment of Physics, Mahendra Morang Adarsh Multiple Campus, Tribhuvan UniversityBibechana2091-07622382-53402018-11-01160556310.3126/bibechana.v16i0.1967416359Some curvature tensors in N(k)-contact metric manifoldRiddhi Jung Shah0Department of Mathematics, Janata Campus,Dang, Nepal Sanskrit University<p>The purpose of this paper is to study W7and W9-curvature tensors on N(k)-contact metric manifolds. We prove that a N(k)-contact metric manifold satisfying the condition W7( xi,X).W9=0 is eta-Einstein manifold. We also obtain the Ricci tensor S of type (0, 2) for phi-W9flat and divW9=0 conditions on N(k)-contact metric manifolds. Finally, we give an example of 3-dimensional N(k)-contact metric manifold.</p><p>BIBECHANA 16 (2019) 55-63</p>https://www.nepjol.info/index.php/BIBECHANA/article/view/19674contact manifoldN(k)-contact metric manifoldeta-Einstein
collection DOAJ
language English
format Article
sources DOAJ
author Riddhi Jung Shah
spellingShingle Riddhi Jung Shah
Some curvature tensors in N(k)-contact metric manifold
Bibechana
contact manifold
N(k)-contact metric manifold
eta-Einstein
author_facet Riddhi Jung Shah
author_sort Riddhi Jung Shah
title Some curvature tensors in N(k)-contact metric manifold
title_short Some curvature tensors in N(k)-contact metric manifold
title_full Some curvature tensors in N(k)-contact metric manifold
title_fullStr Some curvature tensors in N(k)-contact metric manifold
title_full_unstemmed Some curvature tensors in N(k)-contact metric manifold
title_sort some curvature tensors in n(k)-contact metric manifold
publisher Department of Physics, Mahendra Morang Adarsh Multiple Campus, Tribhuvan University
series Bibechana
issn 2091-0762
2382-5340
publishDate 2018-11-01
description <p>The purpose of this paper is to study W7and W9-curvature tensors on N(k)-contact metric manifolds. We prove that a N(k)-contact metric manifold satisfying the condition W7( xi,X).W9=0 is eta-Einstein manifold. We also obtain the Ricci tensor S of type (0, 2) for phi-W9flat and divW9=0 conditions on N(k)-contact metric manifolds. Finally, we give an example of 3-dimensional N(k)-contact metric manifold.</p><p>BIBECHANA 16 (2019) 55-63</p>
topic contact manifold
N(k)-contact metric manifold
eta-Einstein
url https://www.nepjol.info/index.php/BIBECHANA/article/view/19674
work_keys_str_mv AT riddhijungshah somecurvaturetensorsinnkcontactmetricmanifold
_version_ 1724683839677136896

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