On Warped Product Pointwise Pseudo-Slant Submanifolds of <i>LCK</i>-Manifolds and Their Applications
The concept of pointwise slant submanifolds of a Kähler manifold was presented by Chen and Garay. This research extends this notion to a more general setting, specifically in a locally conformal Kähler manifold. We study the pointwise pseudo-slant warped products of the form <inline-formula>&l...
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2024-11-01
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| author | Fatimah Alghamdi |
| author_facet | Fatimah Alghamdi |
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| description | The concept of pointwise slant submanifolds of a Kähler manifold was presented by Chen and Garay. This research extends this notion to a more general setting, specifically in a locally conformal Kähler manifold. We study the pointwise pseudo-slant warped products of the form <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi mathvariant="sans-serif">Σ</mi><mi>θ</mi></msup><msub><mrow><mo>×</mo><mo> </mo></mrow><mi>f</mi></msub><msup><mi mathvariant="sans-serif">Σ</mi><mo>⊥</mo></msup></mrow></semantics></math></inline-formula> in a locally conformal Kähler manifold. Using the concept of pointwise pseudo-slant, we establish the necessary and sufficient condition for it to be characterized as a warped product submanifold. In addition, we derive several results on pointwise pseudo-slant warped products that expand previously proven main ones. Further, some examples of such submanifolds and their warped products are also given. |
| format | Article |
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| language | English |
| publishDate | 2024-11-01 |
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| spelling | doaj-art-07ce23a4bde548e496d15326b700d7c12025-08-20T02:08:02ZengMDPI AGAxioms2075-16802024-11-01131180710.3390/axioms13110807On Warped Product Pointwise Pseudo-Slant Submanifolds of <i>LCK</i>-Manifolds and Their ApplicationsFatimah Alghamdi0Department of Mathematics and Statistics, College of Science, University of Jeddah, Jeddah 21589, Saudi ArabiaThe concept of pointwise slant submanifolds of a Kähler manifold was presented by Chen and Garay. This research extends this notion to a more general setting, specifically in a locally conformal Kähler manifold. We study the pointwise pseudo-slant warped products of the form <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi mathvariant="sans-serif">Σ</mi><mi>θ</mi></msup><msub><mrow><mo>×</mo><mo> </mo></mrow><mi>f</mi></msub><msup><mi mathvariant="sans-serif">Σ</mi><mo>⊥</mo></msup></mrow></semantics></math></inline-formula> in a locally conformal Kähler manifold. Using the concept of pointwise pseudo-slant, we establish the necessary and sufficient condition for it to be characterized as a warped product submanifold. In addition, we derive several results on pointwise pseudo-slant warped products that expand previously proven main ones. Further, some examples of such submanifolds and their warped products are also given.https://www.mdpi.com/2075-1680/13/11/807warped productsCR-submanifold warped productpointwise slant warped productslocally conformal Kähler manifold |
| spellingShingle | Fatimah Alghamdi On Warped Product Pointwise Pseudo-Slant Submanifolds of <i>LCK</i>-Manifolds and Their Applications Axioms warped products CR-submanifold warped product pointwise slant warped products locally conformal Kähler manifold |
| title | On Warped Product Pointwise Pseudo-Slant Submanifolds of <i>LCK</i>-Manifolds and Their Applications |
| title_full | On Warped Product Pointwise Pseudo-Slant Submanifolds of <i>LCK</i>-Manifolds and Their Applications |
| title_fullStr | On Warped Product Pointwise Pseudo-Slant Submanifolds of <i>LCK</i>-Manifolds and Their Applications |
| title_full_unstemmed | On Warped Product Pointwise Pseudo-Slant Submanifolds of <i>LCK</i>-Manifolds and Their Applications |
| title_short | On Warped Product Pointwise Pseudo-Slant Submanifolds of <i>LCK</i>-Manifolds and Their Applications |
| title_sort | on warped product pointwise pseudo slant submanifolds of i lck i manifolds and their applications |
| topic | warped products CR-submanifold warped product pointwise slant warped products locally conformal Kähler manifold |
| url | https://www.mdpi.com/2075-1680/13/11/807 |
| work_keys_str_mv | AT fatimahalghamdi onwarpedproductpointwisepseudoslantsubmanifoldsofilckimanifoldsandtheirapplications |