Warped Product Pointwise Semi-slant Submanifolds of Almost Contact Manifolds
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 3, p. 453
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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.
Classification :
53C15, 53C40, 53C42, 53B25
Keywords: warped products, pointwise slant submanifolds, pointwise semi-slant submanifolds, Sasakian manifolds, cosymplectic manifold
Keywords: warped products, pointwise slant submanifolds, pointwise semi-slant submanifolds, Sasakian manifolds, cosymplectic manifold
@article{10_46793_KgJMat2403_453M,
author = {Ion Mihai and Siraj Uddin and Adela Mihai},
title = {Warped {Product} {Pointwise} {Semi-slant} {Submanifolds} of {Almost} {Contact} {Manifolds}},
journal = {Kragujevac Journal of Mathematics},
pages = {453 },
year = {2024},
volume = {48},
number = {3},
doi = {10.46793/KgJMat2403.453M},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2403.453M/}
}
TY - JOUR AU - Ion Mihai AU - Siraj Uddin AU - Adela Mihai TI - Warped Product Pointwise Semi-slant Submanifolds of Almost Contact Manifolds JO - Kragujevac Journal of Mathematics PY - 2024 SP - 453 VL - 48 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2403.453M/ DO - 10.46793/KgJMat2403.453M LA - en ID - 10_46793_KgJMat2403_453M ER -
%0 Journal Article %A Ion Mihai %A Siraj Uddin %A Adela Mihai %T Warped Product Pointwise Semi-slant Submanifolds of Almost Contact Manifolds %J Kragujevac Journal of Mathematics %D 2024 %P 453 %V 48 %N 3 %U http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2403.453M/ %R 10.46793/KgJMat2403.453M %G en %F 10_46793_KgJMat2403_453M
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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