Pseudo-slant Submanifolds Research Articles

Contact pseudo-slant submanifolds of a para-Sasakian manifold according to type 1, type 2, type 3 cases

This paper aims to present work on contact pseudo-slant submanifolds of para-Sasakian manifolds. The study includes the definitions and some results on type 1, type 2, and type 3 contact pseudo-slant submanifolds. The results were interpreted by taking into account the parallelism and geodesicity of the tensors reduced to the submanifold. Additionally, minimal anti-invariant and invariant submanifolds were evaluated for the type 1, type 2, and type 3 cases of the tensors reduced to the submanifold.

Characterization of bi-slant submanifolds of paraSasakian manifold

This paper aims to present work on bi-slant submanifolds of paraSasakian manifold. The study includes the definitions and some results on Type 1, Type 2, and Type 3 slant submanifolds. We define bi-slant submanifolds and derive characterization results with some illustrative examples. Further, we also study the particular cases of bi-slant submanifolds named semi-slant and pseudo-slant submanifolds and derive some results. An example for each case is also constructed.

On Contact Pseudo-Slant Submanifolds in (LCS)n-Manifolds

In this study, we investigate the differential geometry of contact pseudo-slant submanifolds of a (LCS)n -manifold. The necessary and sufficient conditions for contact pseudo-slant submanifolds of a (LCS)n-manifold are given.

Some Basic Inequalities on (ϵ)-Para Sasakian Manifold

We propose fundamental inequalities for contact pseudo-slant submanifolds of (ϵ)-para Sasakian space form employing generalized normalized δ-Casorati curvature. We characterize submanifolds for which equality cases hold and illustrate the main result with some applications. Further, we have considered a certain type of submanifold for a Ricci soliton and after computing its scalar curvature, developed an inequality to find correlations between intrinsic or extrinsic invariants.

CHARACTERIZATIONS OF CONTACT PSEUDO-SLANT SUBMANIFOLDS OF A PARA-KENMOTSU MANIFOLD

In this paper, the geometry of contact pseudo-slant submanifolds of a para Kenmotsu manifold howe been studied. The necessary and sufficient conditions for a submanifolds to be a contact pseudoslant submanifolds of a para Kenmotsu manifold are given.

Estimation of eigenvalues for the $ \alpha $-Laplace operator on pseudo-slant submanifolds of generalized Sasakian space forms

<abstract><p>In this study, we seek to establish new upper bounds for the mean curvature and constant sectional curvature of the first positive eigenvalue of the $ \alpha $-Laplacian operator on Riemannian manifolds. More precisely, various methods are used to determine the first eigenvalue for the $ \alpha $-Laplacian operator on the closed oriented pseudo-slant submanifolds in a generalized Sasakian space form. From our findings for the Laplacian, we extend many Reilly-like inequalities to the $ \alpha $-Laplacian on pseudo slant submanifold in a unit sphere.</p></abstract>

On geometry of warped product pseudo-slant submanifolds on generalized Sasakian space forms

In the present paper, we consider warped product pseudo-slant submanifolds of generalized Sasakian space forms. We obtain an interesting inequality in terms of the second fundamental forms and the scalar curvature using Gauss equation. Next we compute to characterize the relation between the warping function and the squared norm of mean curvature of warped product pseudo-slant submanifolds of generalized Sasakian space forms under some certain conditions. Finally, we derive warped product pseudo-slant submanifolds in generalized Sasakian space forms to become Riemannian product with various mathematical and physical expressions.

On Pseudo-slant sub-manifolds of generalised sasakian space form

In this article, we investigate pseudo-slant sub-manifold (PSSM) of generalised sasakian space form(GSSF). We obtain some integrability aspects of the distributions on the PSSM.

Some properties of pseudo-slant submanifolds of a Sasakian manifold

Some properties of pseudo-slant submanifolds of a Sasakian manifold

Some properties of pseudo-slant submanifolds of a Sasakian manifold

In this paper, we study pseudo-slant submanifolds of a Sasakian manifold. We find some results and investigate the integrability conditions of distributions which are involved in the definition of pseudo-slant submanifolds. Finally, we obtain the necessary and sucifient condition for a pseudo-slant submanifold to be pseudo-slant product.

Some Result on Contact Pseudo-Slant Submanifolds of a Sasakian Manifold

In this paper, we study the geometry of the contact pseudo-slant submanifolds of a Sasakian manifold. We derive the integrability conditions of distributions in the definition of a contact pseudo-slant submanifold. The notions contact pseudo-slant product is defined, and the necessary and sufficient conditions for a submanifold to contact pseudo-slant product is given. Also, a non-trivial example is used to demonstrate that the method presented in this paper is effective.

On Pseudo-Slant Submanifolds of Nearly Quasi-Sasakian Manifolds

On Pseudo-Slant Submanifolds of Nearly Quasi-Sasakian Manifolds

The First Eigenvalue Estimates of Warped Product Pseudo-Slant Submanifolds

The aim of this paper is to construct a sharp general inequality for warped product pseudo-slant submanifold of the type M = M ⊥ × f M θ , in a nearly cosymplectic manifold, in terms of the warping function and the symmetric bilinear form h which is known as the second fundamental form. The equality cases are also discussed. As its application, we establish a bound for the first non-zero eigenvalue of the warping function whose base manifold is compact.

Geometric classification of warped product submanifolds of nearly Kaehler manifolds with a slant fiber

There are two types of warped product pseudo-slant submanifolds, [Formula: see text] and [Formula: see text], in a nearly Kaehler manifold. We derive an optimization for an extrinsic invariant, the squared norm of second fundamental form, on a nontrivial warped product pseudo-slant submanifold [Formula: see text] in a nearly Kaehler manifold in terms of a warping function and a slant angle when the fiber [Formula: see text] is a slant submanifold. Moreover, the equality is verified for depending on what [Formula: see text] and [Formula: see text] are, and also we show that if the equality holds, then [Formula: see text] is a simply Riemannian product. As applications, we prove that the warped product pseudo-slant submanifold has the finite Kinetic energy if and only if [Formula: see text] is a totally real warped product submanifold.

The geometry of contact pseudo-slant submanifolds of a Sasakian manifold

In this paper, we study the geometry of the contact pseudo-slant submanifolds of a Sasakian manifold. We verify some properties of the components of the tensor field acting on that kind of submanifold and find out the necessary and sufficient conditions for them to be parallel. Also, necessary and sufficient conditions are given for a submanifold to be a pseudo-slant submanifold, contact pseudo-slant product, D?, D? and mixed-geodesic in Sasakian manifold.

Generalized inequalities of warped product submanifolds of nearly Kenmotsu f-manifolds

In the present paper, we establish two general sharp inequalities for the squared norm of second fundamental form for mixed totally geodesic warped product pseudo-slant submanifolds of the form M? xf M? and M? xf M?, in a nearly Kenmotsu f-manifold M, which include the squared norm of the warping function and slant angle. Also, equality cases are verified. We proved that some previous results are trivial from our results. Moreover, we generalized the inequality theorems [3] and [26] from our derived results.

Chen’s type inequality forwarped product pseudo-slant submanifolds of Kenmotsu f-manifolds

In the present paper, we consider non-trivial warped product pseudo slant submanifolds of type M? xf M? and M? xf M? of Kenmotsu f-manifold M?. Firstly, we get some basic properties of these type warped product submanifolds. Then, we prove the general sharp inequalities for mixed totally geodesic warped product pseudo slant submanifolds and also we consider equality cases. Also generalizes some previous inequalities as well.

Contact Pseudo-slant submanifolds of a cosymplectic manifold

Contact Pseudo-slant submanifolds of a cosymplectic manifold

Geometry of warped product pseudo-slant submanifolds of Kenmotsu manifolds

In this paper, we study pseudo-slant submanifolds and their warped products in Kenmotsu manifolds. We obtain the necessary conditions that a pseudoslant submanifold is locally a warped product and establish an inequality for the squared norm of the second fundamental form in terms of the warping function. The equality case is also considered.

Warped product pseudo-slant submanifolds of quasi-Sasakian manifolds

The object of the present paper is to study warped product and doubly warped product pseudo-slant submanifolds of quasi-Sasakian manifolds. We derive an example of proper pseudo-slant submanifold of almost contact metric manifold. Also, we study the non-existence of warped product and doubly warped product pseudo-slant submanifolds of quasi-Sasakian manifolds.