Study of η-einstein soliton on α-sasakian manifold admitting schouten-van kampen connection

The purpose of the present paper is to study some properties of α -Sasakian manifolds with respect to Schouten-van Kampen connection. We study η-Einstein soliton on pseudo-projectively flat α-Sasakian manifolds with respect to Schouten-van Kampen connection. Further, we discuss η-Einstein soliton on...

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Main Authors: Abhijit Mandal, Meghlal Mallik, Rima Das, Gopan Saha, Enamul Hoque, Md Rejuan
Format: Article
Language:English
Published: University of Mohaghegh Ardabili 2024-12-01
Series:Journal of Hyperstructures
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Online Access:https://jhs.uma.ac.ir/article_3543_1ee51a9eed947932c221861ae0adca2f.pdf
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author Abhijit Mandal
Meghlal Mallik
Rima Das
Gopan Saha
Enamul Hoque
Md Rejuan
author_facet Abhijit Mandal
Meghlal Mallik
Rima Das
Gopan Saha
Enamul Hoque
Md Rejuan
author_sort Abhijit Mandal
collection DOAJ
description The purpose of the present paper is to study some properties of α -Sasakian manifolds with respect to Schouten-van Kampen connection. We study η-Einstein soliton on pseudo-projectively flat α-Sasakian manifolds with respect to Schouten-van Kampen connection. Further, we discuss η-Einstein soliton on quasi-concircularly flat and Wi-flat α-Sasakian manifolds with respect to this connection.
format Article
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institution Kabale University
issn 2251-8436
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language English
publishDate 2024-12-01
publisher University of Mohaghegh Ardabili
record_format Article
series Journal of Hyperstructures
spelling doaj-art-08bee680a4d5402bb930ea85003f0d2d2025-08-20T03:28:48ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662024-12-0113228429610.22098/jhs.2024.15514.10323543Study of η-einstein soliton on α-sasakian manifold admitting schouten-van kampen connectionAbhijit Mandal0Meghlal Mallik1Rima Das2Gopan Saha3Enamul Hoque4Md Rejuan5Department of Mathematics, Raiganj Surendranath MahavidyalayaDepartment of Mathematics, Raiganj Surendranath Mahavidyalaya, Raiganj, west Bengal, IndiaDepartment of Mathematics, Raiganj Surendranath MahavidyalayaDepartment of Mathematics, Raiganj Surendranath MahavidyalayaDepartment of Mathematics, Raiganj Surendranath MahavidyalayaDepartment of Mathematics, Raiganj Surendranath MahavidyalayaThe purpose of the present paper is to study some properties of α -Sasakian manifolds with respect to Schouten-van Kampen connection. We study η-Einstein soliton on pseudo-projectively flat α-Sasakian manifolds with respect to Schouten-van Kampen connection. Further, we discuss η-Einstein soliton on quasi-concircularly flat and Wi-flat α-Sasakian manifolds with respect to this connection.https://jhs.uma.ac.ir/article_3543_1ee51a9eed947932c221861ae0adca2f.pdfα-sasakian manifoldsschouten-van kampen nconnectionη-einstein solitonpseudo-projective curvature tensorquasi-concircular curvature tensorwi-curvature tensor
spellingShingle Abhijit Mandal
Meghlal Mallik
Rima Das
Gopan Saha
Enamul Hoque
Md Rejuan
Study of η-einstein soliton on α-sasakian manifold admitting schouten-van kampen connection
Journal of Hyperstructures
α-sasakian manifolds
schouten-van kampen nconnection
η-einstein soliton
pseudo-projective curvature tensor
quasi-concircular curvature tensor
wi-curvature tensor
title Study of η-einstein soliton on α-sasakian manifold admitting schouten-van kampen connection
title_full Study of η-einstein soliton on α-sasakian manifold admitting schouten-van kampen connection
title_fullStr Study of η-einstein soliton on α-sasakian manifold admitting schouten-van kampen connection
title_full_unstemmed Study of η-einstein soliton on α-sasakian manifold admitting schouten-van kampen connection
title_short Study of η-einstein soliton on α-sasakian manifold admitting schouten-van kampen connection
title_sort study of η einstein soliton on α sasakian manifold admitting schouten van kampen connection
topic α-sasakian manifolds
schouten-van kampen nconnection
η-einstein soliton
pseudo-projective curvature tensor
quasi-concircular curvature tensor
wi-curvature tensor
url https://jhs.uma.ac.ir/article_3543_1ee51a9eed947932c221861ae0adca2f.pdf
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AT rimadas studyofēeinsteinsolitononasasakianmanifoldadmittingschoutenvankampenconnection
AT gopansaha studyofēeinsteinsolitononasasakianmanifoldadmittingschoutenvankampenconnection
AT enamulhoque studyofēeinsteinsolitononasasakianmanifoldadmittingschoutenvankampenconnection
AT mdrejuan studyofēeinsteinsolitononasasakianmanifoldadmittingschoutenvankampenconnection