[HTML][HTML] On the topology of warped product pointwise semi-slant submanifolds with positive curvature

Y Li, AH Alkhaldi, A Ali, P Laurian-Ioan - Mathematics, 2021 - mdpi.com
In this paper, we obtain some topological characterizations for the war** function of a
warped product pointwise semi-slant submanifold of the form Ω n= NT l× f N ϕ k in a …

Homology groups in warped product submanifolds in hyperbolic spaces

Y Li, A Ali, F Mofarreh, N Alluhaibi - Journal of Mathematics, 2021 - Wiley Online Library
In this paper, we show that if the Laplacian and gradient of the war** function of a compact
warped product submanifold Ωp+ q in the hyperbolic space ℍm (− 1) satisfy various extrinsic …

[HTML][HTML] Vanishing homology of warped product submanifolds in complex space forms and applications

AH Alkhaldi, P Laurian-Ioan, I Ahmad, A Ali - Mathematics, 2022 - mdpi.com
In this paper, we prove the nonexistence of stable integral currents in compact oriented
warped product pointwise semi-slant submanifold M n of a complex space form M˜(4 ϵ) …

[HTML][HTML] The homology of warped product submanifolds of spheres and their applications

LS Alqahtani, A Ali, P Laurian-Ioan, AH Alkhaldi - Mathematics, 2023 - mdpi.com
The aim of the current article is to formulate sufficient conditions for the Laplacian and a
gradient of the war** function of a compact warped product submanifold Σ β 1+ β 2 in a …

A survey on submanifolds of nearly K\" ahler spaces

M Anarella - arxiv preprint arxiv:2401.05175, 2024 - arxiv.org
arxiv:2401.05175v1 [math.DG] 10 Jan 2024 Page 1 arxiv:2401.05175v1 [math.DG] 10 Jan
2024 A SURVEY ON SUBMANIFOLDS OF NEARLY KAHLER SPACES MATEO ANARELLA …

Analysis of stable currents and homology of biwarped product submanifolds in the Euclidean space

MA Khan, C Ozel, MD Siddiqi, SK Chaubeyi, SS Ali - Filomat, 2023 - doiserbia.nb.rs
This paper examines the topological features of the compact biwarped product submanifolds
of a space form with vanishing constant sectional curvature. More precisely, we show that …

[PDF][PDF] The Lawson-Simon's theorem on warped product submanifolds with geometric information

AH Alkhaldi, A Ali, JW Lee - AIMS Mathematics, 2021 - aimspress.com
The main objective of this paper is to investigate topological properties from the view point of
compact warped product submanifolds of a space form with the vanishing constant sectional …

[PDF][PDF] On the Topology of Warped Product Pointwise Semi-Slant Submanifolds with Positive Curvature. Mathematics 2021, 9, 3156

Y Li, AH Alkhaldi, A Ali, P Laurian-Ioan - in Metric Manifolds, 2021 - academia.edu
In this paper, we obtain some topological characterizations for the war** function of a
warped product pointwise semi-slant submanifold of the form on= Nl T× f Nk φ in a complex …