On Golden Lorentzian Manifolds Equipped with Generalized Symmetric Metric Connection
This research deals with the generalized symmetric metric <i>U</i>-connection defined on golden Lorentzian manifolds. We also derive sharp geometric inequalities that involve generalized normalized <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" displa...
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MDPI AG
2021-09-01
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Series: | Mathematics |
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Online Access: | https://www.mdpi.com/2227-7390/9/19/2430 |
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author | Majid Ali Choudhary Khaled Mohamed Khedher Oğuzhan Bahadır Mohd Danish Siddiqi |
author_facet | Majid Ali Choudhary Khaled Mohamed Khedher Oğuzhan Bahadır Mohd Danish Siddiqi |
author_sort | Majid Ali Choudhary |
collection | DOAJ |
description | This research deals with the generalized symmetric metric <i>U</i>-connection defined on golden Lorentzian manifolds. We also derive sharp geometric inequalities that involve generalized normalized <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-Casorati curvatures for submanifolds of golden Lorentzian manifolds equipped with generalized symmetric metric <i>U</i>-connection. |
first_indexed | 2024-03-10T06:55:04Z |
format | Article |
id | doaj.art-7c584134eda34000bb70607df6bf0c5c |
institution | Directory Open Access Journal |
issn | 2227-7390 |
language | English |
last_indexed | 2024-03-10T06:55:04Z |
publishDate | 2021-09-01 |
publisher | MDPI AG |
record_format | Article |
series | Mathematics |
spelling | doaj.art-7c584134eda34000bb70607df6bf0c5c2023-11-22T16:30:13ZengMDPI AGMathematics2227-73902021-09-01919243010.3390/math9192430On Golden Lorentzian Manifolds Equipped with Generalized Symmetric Metric ConnectionMajid Ali Choudhary0Khaled Mohamed Khedher1Oğuzhan Bahadır2Mohd Danish Siddiqi3Department of Mathematics, School of Sciences, Maulana Azad National Urdu University, Hyderabad 500032, IndiaDepartment of Civil Engineering, College of Engineering, King Khalid University, Abha 61421, Saudi ArabiaDepartment of Mathematics, Faculty of Arts and Sciences, Kahramanmaras Sutcu Imam University, Kahramanmaras 46050, TurkeyDepartment of Mathematics, College of Science, Jazan University, Jazan 45142, Saudi ArabiaThis research deals with the generalized symmetric metric <i>U</i>-connection defined on golden Lorentzian manifolds. We also derive sharp geometric inequalities that involve generalized normalized <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-Casorati curvatures for submanifolds of golden Lorentzian manifolds equipped with generalized symmetric metric <i>U</i>-connection.https://www.mdpi.com/2227-7390/9/19/2430Riemannian manifoldsgolden structurescalar curvature |
spellingShingle | Majid Ali Choudhary Khaled Mohamed Khedher Oğuzhan Bahadır Mohd Danish Siddiqi On Golden Lorentzian Manifolds Equipped with Generalized Symmetric Metric Connection Mathematics Riemannian manifolds golden structure scalar curvature |
title | On Golden Lorentzian Manifolds Equipped with Generalized Symmetric Metric Connection |
title_full | On Golden Lorentzian Manifolds Equipped with Generalized Symmetric Metric Connection |
title_fullStr | On Golden Lorentzian Manifolds Equipped with Generalized Symmetric Metric Connection |
title_full_unstemmed | On Golden Lorentzian Manifolds Equipped with Generalized Symmetric Metric Connection |
title_short | On Golden Lorentzian Manifolds Equipped with Generalized Symmetric Metric Connection |
title_sort | on golden lorentzian manifolds equipped with generalized symmetric metric connection |
topic | Riemannian manifolds golden structure scalar curvature |
url | https://www.mdpi.com/2227-7390/9/19/2430 |
work_keys_str_mv | AT majidalichoudhary ongoldenlorentzianmanifoldsequippedwithgeneralizedsymmetricmetricconnection AT khaledmohamedkhedher ongoldenlorentzianmanifoldsequippedwithgeneralizedsymmetricmetricconnection AT oguzhanbahadır ongoldenlorentzianmanifoldsequippedwithgeneralizedsymmetricmetricconnection AT mohddanishsiddiqi ongoldenlorentzianmanifoldsequippedwithgeneralizedsymmetricmetricconnection |