Results 21 to 30 of about 95 (88)
Certain investigations of sequential warped product submanifolds on cosymplectic manifolds
Journal of Inequalities and Applications, 2023 In a special class of almost contact metric manifolds known as cosymplectic manifolds, the current study aims to establish the existence result and a few inequalities for sequential warped product submanifolds.
Anil Sharma +3 more
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A General Inequality for CR‐Warped Products in Generalized Sasakian Space Form and Its Applications
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021 In the present paper, by considering the Gauss equation in place of the Codazzi equation, we derive new optimal inequality for the second fundamental form of CR‐warped product submanifolds into a generalized Sasakian space form. Moreover, the inequality generalizes some inequalities for various ambient space forms.
Yanlin Li +3 more
wiley +1 more source
Characterization of GCR-lightlike warped product of indefinite Sasakian manifolds
Arab Journal of Mathematical Sciences, 2014 In this paper we prove that there do not exist warped product GCR-lightlike submanifolds in the form M = N⊥ × λNT such that N⊥ is an anti-invariant submanifold tangent to V and NT an invariant submanifold of M‾, other than GCR-lightlike product in an ...
Rakesh Kumar +3 more
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Vanishing Homology of Warped Product Submanifolds in Complex Space Forms and Applications
Mathematics, 2022 In this paper, we prove the nonexistence of stable integral currents in compact oriented warped product pointwise semi-slant submanifold Mn of a complex space form M˜(4ϵ) under extrinsic conditions which involve the Laplacian, the squared norm gradient ...
Ali H. Alkhaldi +3 more
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Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 The present paper studies the applications of Obata’s differential equations on the Ricci curvature of the pointwise semislant warped product submanifolds. More precisely, by analyzing Obata’s differential equations on pointwise semislant warped product submanifolds, we demonstrate that, under certain conditions, the base of these submanifolds is ...
Amira A. Ishan, G. Muhiuddin
wiley +1 more source
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
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
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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
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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
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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
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