Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms
In this study, we develop a general inequality for warped product semi-slant submanifolds of type Mn=NTn1×fNϑn2 in a nearly Kaehler manifold and generalized complex space forms using the Gauss equation instead of the Codazzi equation. There are several applications that can be developed from this. I...
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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/10.1155/2021/5900801 |
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| author | Yanlin Li Ali H. Alkhaldi Akram Ali |
| author_facet | Yanlin Li Ali H. Alkhaldi Akram Ali |
| author_sort | Yanlin Li |
| collection | DOAJ |
| description | In this study, we develop a general inequality for warped product semi-slant submanifolds of type Mn=NTn1×fNϑn2 in a nearly Kaehler manifold and generalized complex space forms using the Gauss equation instead of the Codazzi equation. There are several applications that can be developed from this. It is also described how to classify warped product semi-slant submanifolds that satisfy the equality cases of inequalities (determined using boundary conditions). Several results for connected, compact warped product semi-slant submanifolds of nearly Kaehler manifolds are obtained, and they are derived in the context of the Hamiltonian, Dirichlet energy function, gradient Ricci curvature, and nonzero eigenvalue of the Laplacian of the warping functions. |
| format | Article |
| id | doaj-art-49e7b676c1404968a05d56dbcc4dcb44 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-49e7b676c1404968a05d56dbcc4dcb442025-02-03T05:53:22ZengWileyAdvances in Mathematical Physics1687-91392021-01-01202110.1155/2021/5900801Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space FormsYanlin Li0Ali H. Alkhaldi1Akram Ali2School of MathematicsDepartment of MathematicsDepartment of MathematicsIn this study, we develop a general inequality for warped product semi-slant submanifolds of type Mn=NTn1×fNϑn2 in a nearly Kaehler manifold and generalized complex space forms using the Gauss equation instead of the Codazzi equation. There are several applications that can be developed from this. It is also described how to classify warped product semi-slant submanifolds that satisfy the equality cases of inequalities (determined using boundary conditions). Several results for connected, compact warped product semi-slant submanifolds of nearly Kaehler manifolds are obtained, and they are derived in the context of the Hamiltonian, Dirichlet energy function, gradient Ricci curvature, and nonzero eigenvalue of the Laplacian of the warping functions.http://dx.doi.org/10.1155/2021/5900801 |
| spellingShingle | Yanlin Li Ali H. Alkhaldi Akram Ali Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms Advances in Mathematical Physics |
| title | Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms |
| title_full | Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms |
| title_fullStr | Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms |
| title_full_unstemmed | Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms |
| title_short | Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms |
| title_sort | geometric mechanics on warped product semi slant submanifold of generalized complex space forms |
| url | http://dx.doi.org/10.1155/2021/5900801 |
| work_keys_str_mv | AT yanlinli geometricmechanicsonwarpedproductsemislantsubmanifoldofgeneralizedcomplexspaceforms AT alihalkhaldi geometricmechanicsonwarpedproductsemislantsubmanifoldofgeneralizedcomplexspaceforms AT akramali geometricmechanicsonwarpedproductsemislantsubmanifoldofgeneralizedcomplexspaceforms |