Warped Product Pointwise Semi-slant Submanifolds of Almost Contact Manifolds
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Published:2024
Issue:3
Volume:48
Page:453-471
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ISSN:1450-9628
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Container-title:Kragujevac Journal of Mathematics
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language:
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Short-container-title:KgJMat
Author:
,MIHAI ION,UDDIN SIRAJ, ,MIHAI ADELA,
Abstract
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.
Publisher
University Library in Kragujevac