Geometry of Warped Product Hemi-Slant Submanifolds of an <i>S</i>-Manifold
The purpose of this paper is to investigate a warped product of hemi-slant submanifolds on an <i>S</i>-manifold. We prove many interesting results for the existence of warped product hemi-slant submanifold of the type <inline-formula><math xmlns="http://www.w3.org/1998/Math...
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| Language: | English |
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MDPI AG
2023-12-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/16/1/35 |
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| author | Ahlam Al-Mutairi Reem Al-Ghefari Awatif Al-Jedani |
| author_facet | Ahlam Al-Mutairi Reem Al-Ghefari Awatif Al-Jedani |
| author_sort | Ahlam Al-Mutairi |
| collection | DOAJ |
| description | The purpose of this paper is to investigate a warped product of hemi-slant submanifolds on an <i>S</i>-manifold. We prove many interesting results for the existence of warped product hemi-slant submanifold of the type <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>M</mi><mi>θ</mi></msub><msub><mo>×</mo><mi>f</mi></msub><msub><mi>M</mi><mo>⊥</mo></msub></mrow></semantics></math></inline-formula> with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ξ</mi><mi>α</mi></msub><mo>∈</mo><msub><mi>M</mi><mi>θ</mi></msub></mrow></semantics></math></inline-formula> of an <i>S</i>-manifold. For such submanifolds, a characterization theorem is proven. In addition, we form an inequality for the squared norm of the second fundamental form in terms of the warping function and the slant angle. We also provide some examples, and the equality case is also considered. |
| first_indexed | 2024-03-08T10:34:36Z |
| format | Article |
| id | doaj.art-998cdb2897424836841931a3e8138f0c |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-08T10:34:36Z |
| publishDate | 2023-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-998cdb2897424836841931a3e8138f0c2024-01-26T18:38:41ZengMDPI AGSymmetry2073-89942023-12-011613510.3390/sym16010035Geometry of Warped Product Hemi-Slant Submanifolds of an <i>S</i>-ManifoldAhlam Al-Mutairi0Reem Al-Ghefari1Awatif Al-Jedani2Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah 23890, Saudi ArabiaDepartment of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah 23890, Saudi ArabiaDepartment of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah 23890, Saudi ArabiaThe purpose of this paper is to investigate a warped product of hemi-slant submanifolds on an <i>S</i>-manifold. We prove many interesting results for the existence of warped product hemi-slant submanifold of the type <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>M</mi><mi>θ</mi></msub><msub><mo>×</mo><mi>f</mi></msub><msub><mi>M</mi><mo>⊥</mo></msub></mrow></semantics></math></inline-formula> with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>ξ</mi><mi>α</mi></msub><mo>∈</mo><msub><mi>M</mi><mi>θ</mi></msub></mrow></semantics></math></inline-formula> of an <i>S</i>-manifold. For such submanifolds, a characterization theorem is proven. In addition, we form an inequality for the squared norm of the second fundamental form in terms of the warping function and the slant angle. We also provide some examples, and the equality case is also considered.https://www.mdpi.com/2073-8994/16/1/35warpedproductslant submanifoldhemi-slant submanifoldwarped product hemi-slant submanifoldS-manifold |
| spellingShingle | Ahlam Al-Mutairi Reem Al-Ghefari Awatif Al-Jedani Geometry of Warped Product Hemi-Slant Submanifolds of an <i>S</i>-Manifold Symmetry warpedproduct slant submanifold hemi-slant submanifold warped product hemi-slant submanifold S-manifold |
| title | Geometry of Warped Product Hemi-Slant Submanifolds of an <i>S</i>-Manifold |
| title_full | Geometry of Warped Product Hemi-Slant Submanifolds of an <i>S</i>-Manifold |
| title_fullStr | Geometry of Warped Product Hemi-Slant Submanifolds of an <i>S</i>-Manifold |
| title_full_unstemmed | Geometry of Warped Product Hemi-Slant Submanifolds of an <i>S</i>-Manifold |
| title_short | Geometry of Warped Product Hemi-Slant Submanifolds of an <i>S</i>-Manifold |
| title_sort | geometry of warped product hemi slant submanifolds of an i s i manifold |
| topic | warpedproduct slant submanifold hemi-slant submanifold warped product hemi-slant submanifold S-manifold |
| url | https://www.mdpi.com/2073-8994/16/1/35 |
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