DDVV Inequality on Submanifolds Coupled with a Slant Factor in Quaternionic Kaehler Manifolds
This work aims to provide generalized Wintgen inequalities for slant submanifolds embedded in quaternionic space forms, taking into consideration both semi-symmetric metric and semi-symmetric non-metric connections. Moreover, we discuss the same inequality for totally real, anti-invariant, and invar...
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MDPI AG
2024-12-01
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| Online Access: | https://www.mdpi.com/2075-1680/14/1/6 |
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| author | Rawan Bossly Majid Ali Choudhary Mohd Danish Siddiqi Oḡuzhan Bahadır Mehmet Gülbahar |
| author_facet | Rawan Bossly Majid Ali Choudhary Mohd Danish Siddiqi Oḡuzhan Bahadır Mehmet Gülbahar |
| author_sort | Rawan Bossly |
| collection | DOAJ |
| description | This work aims to provide generalized Wintgen inequalities for slant submanifolds embedded in quaternionic space forms, taking into consideration both semi-symmetric metric and semi-symmetric non-metric connections. Moreover, we discuss the same inequality for totally real, anti-invariant, and invariant submanifolds on quaternionic space forms, endowed with both semi-symmetric metric and semi-symmetric non-metric connections. We also characterized the equality case through specific forms of shape operators of Wintgen inequalities for these classes of submanifolds in quaternionic space forms, admitting a semi-symmetric metric connection and a semi-symmetric non-metric connection. |
| format | Article |
| id | doaj-art-2d9fb47bb66f4a719858f9e62a93c1bf |
| institution | Kabale University |
| issn | 2075-1680 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-2d9fb47bb66f4a719858f9e62a93c1bf2025-01-24T13:22:07ZengMDPI AGAxioms2075-16802024-12-01141610.3390/axioms14010006DDVV Inequality on Submanifolds Coupled with a Slant Factor in Quaternionic Kaehler ManifoldsRawan Bossly0Majid Ali Choudhary1Mohd Danish Siddiqi2Oḡuzhan Bahadır3Mehmet Gülbahar4Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi ArabiaDepartment of Mathematics, School of Sciences, Maulana Azad National Urdu University, Hyderabad 500032, IndiaDepartment of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi ArabiaDepartment of Mathematics, Kahramanmaraş Sütçü İmam University, 46050 Kahramanmaras, TurkeyDepartment of Mathematics, Faculty of Arts and Sciences, Harran University, 63050 Şanlıurfa, TurkeyThis work aims to provide generalized Wintgen inequalities for slant submanifolds embedded in quaternionic space forms, taking into consideration both semi-symmetric metric and semi-symmetric non-metric connections. Moreover, we discuss the same inequality for totally real, anti-invariant, and invariant submanifolds on quaternionic space forms, endowed with both semi-symmetric metric and semi-symmetric non-metric connections. We also characterized the equality case through specific forms of shape operators of Wintgen inequalities for these classes of submanifolds in quaternionic space forms, admitting a semi-symmetric metric connection and a semi-symmetric non-metric connection.https://www.mdpi.com/2075-1680/14/1/6slant submanifoldsWintgen inequalityquaternionic space forms |
| spellingShingle | Rawan Bossly Majid Ali Choudhary Mohd Danish Siddiqi Oḡuzhan Bahadır Mehmet Gülbahar DDVV Inequality on Submanifolds Coupled with a Slant Factor in Quaternionic Kaehler Manifolds Axioms slant submanifolds Wintgen inequality quaternionic space forms |
| title | DDVV Inequality on Submanifolds Coupled with a Slant Factor in Quaternionic Kaehler Manifolds |
| title_full | DDVV Inequality on Submanifolds Coupled with a Slant Factor in Quaternionic Kaehler Manifolds |
| title_fullStr | DDVV Inequality on Submanifolds Coupled with a Slant Factor in Quaternionic Kaehler Manifolds |
| title_full_unstemmed | DDVV Inequality on Submanifolds Coupled with a Slant Factor in Quaternionic Kaehler Manifolds |
| title_short | DDVV Inequality on Submanifolds Coupled with a Slant Factor in Quaternionic Kaehler Manifolds |
| title_sort | ddvv inequality on submanifolds coupled with a slant factor in quaternionic kaehler manifolds |
| topic | slant submanifolds Wintgen inequality quaternionic space forms |
| url | https://www.mdpi.com/2075-1680/14/1/6 |
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