Warped Product Pointwise Semi-slant Submanifolds of Almost Contact Manifolds
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 3, p. 453 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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B.-Y. Chen and O. J. Garay studied pointwise slant submanifolds of almost Hermitian manifolds. By using the notion of pointwise slant submanifolds, we investigate the geometry of pointwise semi-slant submanifolds and their warped products in Sasakian and cosymplectic manifolds. We prove that there exist no proper pointwise semi-slant warped product submanifold other than contact CR-warped products in Sasakian manifolds. We give non-trivial examples of such submanifolds in cosymplectic manifolds and obtain several fundamental results, including a characterization for warped product pointwise semi-slant submanifolds.
DOI : 10.46793/KgJMat2403.453M
Classification : 53C15, 53C40, 53C42, 53B25
Keywords: warped products, pointwise slant submanifolds, pointwise semi-slant submanifolds, Sasakian manifolds, cosymplectic manifold
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Ion Mihai; Siraj Uddin; Adela Mihai. Warped Product Pointwise Semi-slant Submanifolds of Almost Contact Manifolds. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 3, p. 453 . doi: 10.46793/KgJMat2403.453M

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