B.-Y. Chen's inequality for bi-warped products and its applications in Kenmotsu manifolds

S Uddin, FR Al-Solamy, MH Shahid… - Mediterranean Journal of …, 2018 - Springer
In this paper, we establish a sharp inequality for the squared norm of the second
fundamental form of bi-warped product submanifolds of Kenmotsu manifolds. The equality …

Sequential warped product submanifolds having holomorphic, totally real and pointwise slant factors

B Şahin - Periodica Mathematica Hungarica, 2022 - Springer
We introduce sequential warped product submanifolds of Kaehler manifolds, provide
examples and establish Chen's inequality for such submanifolds. The equality case is also …

Slant geometry of warped products in Kaehler and nearly Kaehler manifolds

BY Chen, S Uddin - Complex Geometry of Slant Submanifolds, 2022 - Springer
Slant Geometry of Warped Products in Kaehler and Nearly Kaehler Manifolds | SpringerLink
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Bi-warped product submanifolds of nearly Kaehler manifolds

S Uddin, BY Chen, A Al-Jedani… - Bulletin of the Malaysian …, 2020 - Springer
We study bi-warped product submanifolds of nearly Kaehler manifolds which are the natural
extension of warped products. We prove that every bi-warped product submanifold of the …

Sequential warped product submanifolds of Sasakian manifolds

SY Perktaş, AM Blaga - Mediterranean Journal of Mathematics, 2023 - Springer
In this article, we study sequential warped product submanifolds of Sasakian manifolds and
provide nonexistence results when the sequential warped product contains one invariant …

[HTML][HTML] Bi-warped products and applications in locally product Riemannian manifolds

ALJ Awatif, S Uddin, A Alghanemi, I Mihai - Journal of Geometry and …, 2019 - Elsevier
In this paper, we consider M θ, a pointwise slant submanifold and prove that every bi-
warped product M⊥× f 1 MT× f 2 M θ in a locally product Riemannian manifold satisfies a …

Geometric inequalities of bi-warped product submanifold in generalized complex space form

SK Srivastava, A Kumar - Journal of Geometry and Physics, 2024 - Elsevier
In this article, we obtain some inequalities for the bi-warped product submanifold of nearly-
Kähler manifold which is expressed in terms of Laplacian, gradient, slant coefficient, and …

[引用][C] Differential Geometry of Warped Product Manifolds and Submanifolds

BY Chen - 2017 - World Scientific Publishing Co. Pte …

Geometry of bi-warped product submanifolds of locally product Riemannian manifolds

S Uddin, A Mihai, I Mihai, A Al-Jedani - Revista de la Real Academia de …, 2020 - Springer
Abstract In 2008, Chen and Dillen obtained a sharp estimation for the squared norm of the
second fundamental form of multiply warped CR-submanifold M= M_1 * _ f_2 M_2 …

Geometric inequalities of bi-warped product submanifolds of nearly Kenmotsu manifolds and their applications

A Ali, F Mofarreh - Mathematics, 2020 - mdpi.com
The present paper aims to construct an inequality for bi-warped product submanifolds in a
special class of almost metric manifolds, namely nearly Kenmotsu manifolds. As geometric …