Results 31 to 40 of about 2,316 (142)
A DDVV INEQUALITY FOR SUBMANIFOLDS OF WARPED PRODUCTS [PDF]
Bulletin of the Australian Mathematical Society, 2017 We prove a DDVV inequality for submanifolds of warped products of the form $I\times _{a}\mathbb{M}^{n}(c)$, where $I$ is an interval and $\mathbb{M}^{n}(c)$ is a real space form of curvature $c$. As an application, we give a rigidity result for submanifolds of $\mathbb{R}\times _{e^{\unicode[STIX]{x1D706}t}}\mathbb{H}^{n}(c)$.
openaire +3 more sources
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021 The purpose of the present paper is to study the applications of Ricci curvature inequalities of warped product semi‐invariant product submanifolds in terms of some differential equations. More precisely, by analyzing Bochner’s formula on these inequalities, we demonstrate that, under certain conditions, the base of these submanifolds is isometric to ...
Ibrahim Al-Dayel, Meraj Ali Khan
wiley +1 more source
Characterizing Inequalities for Biwarped Product Submanifolds of Sasakian Space Forms
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 The biwarped product submanifolds generalize the class of product submanifolds and are particular case of multiply warped product submanifolds. The present paper studies the biwarped product submanifolds of the type ST×ψ1S⊥×ψ2Sθ in Sasakian space forms S¯c, where ST, S⊥, and Sθ are the invariant, anti‐invariant, and pointwise slant submanifolds of S¯c.
Meraj Ali Khan +2 more
wiley +1 more source
Mathematics, 2019 The purpose of this article is to obtain geometric conditions in terms of gradient Ricci curvature, both necessary and sufficient, for a warped product semi-slant in a Kenmotsu space form, to be either CR-warped product or simply a Riemannian product ...
Ali H. Alkhaldi, Akram Ali
doaj +1 more source
On differential equations classifying a warped product submanifold of cosymplectic space forms
Journal of Inequalities and Applications, 2021 In the present paper, we extend the study of (Ali et al. in J. Inequal. Appl. 2020:241, 2020) by using differential equations (García-Río et al. in J. Differ. Equ. 194(2):287–299, 2003; Pigola et al. in Math. Z. 268:777–790, 2011; Tanno in J. Math.
Akram Ali +3 more
doaj +1 more source
The Homology of Warped Product Submanifolds of Spheres and Their Applications
Mathematics, 2023 The aim of the current article is to formulate sufficient conditions for the Laplacian and a gradient of the warping function of a compact warped product submanifold Σβ1+β2 in a unit sphere Sd that provides trivial homology and fundamental groups.
Lamia Saeed Alqahtani +3 more
doaj +1 more source
Semi‐Slant Warped Product Submanifolds of a Kenmotsu Manifold [PDF]
Mathematical Problems in Engineering, 2012 We study semi‐slant warped product submanifolds of a Kenmotsu manifold. We obtain a characterization for warped product submanifolds in terms of warping function and shape operator and finally proved an inequality for squared norm of second fundamental form.
Al-Solamy, Falleh R., Khan, Meraj Ali
openaire +1 more source
Types of Submanifolds in Metallic Riemannian Manifolds: A Short Survey
Mathematics, 2021 We provide a brief survey on the properties of submanifolds in metallic Riemannian manifolds. We focus on slant, semi-slant and hemi-slant submanifolds in metallic Riemannian manifolds and, in particular, on invariant, anti-invariant and semi-invariant ...
Cristina E. Hretcanu, Adara M. Blaga
doaj +1 more source
Some Results on Warped Product Submanifolds of a Sasakian Manifold [PDF]
International Journal of Mathematics and Mathematical Sciences, 2010 We study warped product Pseudo‐slant submanifolds of Sasakian manifolds. We prove a theorem for the existence of warped product submanifolds of a Sasakian manifold in terms of the canonical structure F.
Siraj Uddin +2 more
openaire +3 more sources
Remarks on metallic warped product manifolds [PDF]
, 2018 We characterize the metallic structure on the product of two metallic manifolds in terms of metallic maps and provide a necessary and sufficient condition for the warped product of two locally metallic Riemannian manifolds to be locally metallic.
Blaga, Adara M., Hretcanu, Cristina E.
core +2 more sources