Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms
In this article, we obtain improved Chen-Ricci inequalities for submanifolds of generalized space forms with quarter-symmetric metric connection, with the help of which we completely characterized the Lagrangian submanifold in generalized complex space form and a Legendrian submanifold in a generali...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/3221643 |
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| _version_ | 1841524685952516096 |
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| author | Ali H. Al-Khaldi Mohd. Aquib Mohd Aslam Meraj Ali Khan |
| author_facet | Ali H. Al-Khaldi Mohd. Aquib Mohd Aslam Meraj Ali Khan |
| author_sort | Ali H. Al-Khaldi |
| collection | DOAJ |
| description | In this article, we obtain improved Chen-Ricci inequalities for submanifolds of generalized space forms with quarter-symmetric metric connection, with the help of which we completely characterized the Lagrangian submanifold in generalized complex space form and a Legendrian submanifold in a generalized Sasakian space form. We also discuss some geometric applications of the obtained results. |
| format | Article |
| id | doaj-art-68455b2e0c8e428db9227988174aa806 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-68455b2e0c8e428db9227988174aa8062025-02-03T05:47:37ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/32216433221643Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space FormsAli H. Al-Khaldi0Mohd. Aquib1Mohd Aslam2Meraj Ali Khan3Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha, Saudi ArabiaDepartment of Mathematics, Sri Venkateswara College, University of Delhi, New Delhi 110021, IndiaDepartment of Mathematics, Faculty of Natural Sciences, Jamia Millia Islamia, New Delhi 110025, IndiaDepartment of Mathematics, University of Tabuk, Tabuk, Saudi ArabiaIn this article, we obtain improved Chen-Ricci inequalities for submanifolds of generalized space forms with quarter-symmetric metric connection, with the help of which we completely characterized the Lagrangian submanifold in generalized complex space form and a Legendrian submanifold in a generalized Sasakian space form. We also discuss some geometric applications of the obtained results.http://dx.doi.org/10.1155/2021/3221643 |
| spellingShingle | Ali H. Al-Khaldi Mohd. Aquib Mohd Aslam Meraj Ali Khan Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms Advances in Mathematical Physics |
| title | Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms |
| title_full | Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms |
| title_fullStr | Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms |
| title_full_unstemmed | Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms |
| title_short | Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms |
| title_sort | chen ricci inequalities with a quarter symmetric connection in generalized space forms |
| url | http://dx.doi.org/10.1155/2021/3221643 |
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