Warped Product Submanifolds in Locally Golden Riemannian Manifolds with a Slant Factor
Mathematics, 2021 In the present paper, we study some properties of warped product pointwise semi-slant and hemi-slant submanifolds in Golden Riemannian manifolds, and we construct examples in Euclidean spaces.
Cristina E. Hretcanu, Adara M. Blaga
doaj +3 more sources
Estimation of inequalities for warped product semi-slant submanifolds of Kenmotsu space forms
Journal of Inequalities and Applications, 2016 In this paper, we construct the geometric inequalities for the squared norm of the mean curvature and warping functions of warped product semi-slant submanifolds in Kenmotsu space forms. The equality cases are also discussed.
Misbah Liaqat +5 more
doaj +3 more sources
A note on quasi-hemi slant submanifolds of nearly trans-Sasakian manifolds [PDF]
Journal of Hyperstructures, 2023 Here our main objective is to introduce the notion of quasi hemi-slant submanifolds as a generalized case of slant sub-manifolds, semi-slant submanifolds and hemi-slant submanifolds of contact metric manifolds.
Shamsur Rahman, Amit Kumar Rai
doaj +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
An Optimal Inequality for the Normal Scalar Curvature in Metallic Riemannian Space Forms
Mathematics, 2023 In this paper, we prove the DDVV conjecture for a slant submanifold in metallic Riemannian space forms with the semi-symmetric metric connection. The equality case of the derived inequality is discussed, and some special cases of the inequality are given.
Siraj Uddin +2 more
doaj +1 more source
Inequalities for the Class of Warped Product Submanifold of Para-Cosymplectic Manifolds
Advances in Mathematical Physics, 2022 The aim of this paper is to study the warped product pointwise semislant submanifolds in the para-cosymplectic manifold with the semi-Riemannian metric.
Fatemah Mofarreh +4 more
doaj +1 more source
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
doaj +1 more source
Mathematics, 2022 In this study, a link between the squared norm of the second fundamental form and the Laplacian of the warping function for a warped product pointwise semi-slant submanifold Mn in a complex projective space is presented.
Ali H. Alkhaldi +3 more
doaj +1 more source
Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms
Advances in Mathematical Physics, 2021 In this study, we develop a general inequality for warped product semi-slant submanifolds of type Mn=NTn1×fNϑn2 in a nearly Kaehler manifold and generalized complex space forms using the Gauss equation instead of the Codazzi equation.
Yanlin Li, Ali H. Alkhaldi, Akram Ali
doaj +1 more source
On the Topology of Warped Product Pointwise Semi-Slant Submanifolds with Positive Curvature
Mathematics, 2021 In this paper, we obtain some topological characterizations for the warping function of a warped product pointwise semi-slant submanifold of the form Ωn=NTl×fNϕk in a complex projective space CP2m(4).
Yanlin Li +3 more
doaj +1 more source