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...

Full description

Bibliographic Details
Main Authors: Majid Ali Choudhary, Khaled Mohamed Khedher, Oğuzhan Bahadır, Mohd Danish Siddiqi
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/19/2430
_version_ 1827680755729301504
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