Hanan Alohali

Hanan Alohali

King Saud University
See Latest Publications
See Most Cited Publications
SciProfiles
ORCID Profile
Google Scholar

Current Organizations / Institutes

The organizations/institutes from the scholar's latest article

Hanan Alohali has a total of 31 co-authors. Here are the top co-authors by number of shared publications:

Latest Publications

  • Website
    Google Scholar
    Open Access

    Some Rigidity Results Related to Conformal Vector Fields

    by Hanan Alohali, Sharief Deshmukh

    This article explores properties of conformal vector fields on a Riemannian manifold, focusing on conditions that lead to the manifold being isometric to the Euclidean space. Given a conformal vector ζ with conformal factor σ on a Riemannian manifold N,g, there is naturally associated a skew-symmetric tensor χ to ζ called the essential tensor of ζ. It is shown that the essential tensor χ plays a vital role in our study. We intend to analyze when a conformal vector field becomes a Killing vector field. In a first result of this article, we obtain a necessary and sufficient geometric condition on a complete and connected Riemannian manifold N,g admitting a conformal vector field ζ so that ζ is a Killing vector field. In the rest of the article, we obtain characterizations of a Euclidean space using conformal vector fields. In the first such result, it is shown that an n-dimensional complete and connected Riemannian manifold N,g, n>2 admits a conformal vector field ζ with conformal factor σ≠0 and essential tensor χ such that the affinity tensor of ∇σ is zero, the function ζσ is a constant, and ζ annihilates χ if and only if N,g is isometric to the Euclidean space En. Similarly, in a second characterization of the Euclidean space En using a conformal vector field ζ, we use the following conditions: ζ annihilates the Ricci operator S, ∇σ annihilates χ, and the vector field χζ is incompressible. Finally, we consider a conformal vector field ζ with conformal factor σ≠0 and essential tensor χ on a complete and connected Riemannian manifold N,g such that the Hessian operator Hσ is invariant under the local flow of ζ so that the function ζσ−σ2 is a subharmonic function and ζ annihilates χ, and show that N,g is isometric to the Euclidean space En. The converse holds as well.

  • Website
    Google Scholar
    Open Access

    h-Almost Conformal η-Ricci–Bourguignon Solitons and Spacetime Symmetry in Barotropic Fluids Within f(R,T) Gravity

    by Sunil Kumar Yadav, Sameh Shenawy, Hanan Alohali, Carlo Mantica

    We investigate the geometric and physical properties of the h-almost conformal η-Ricci–Bourguignon soliton and its gradient form by employing a barotropic equation of state within the framework of f(R,T) gravity. We derive this barotropic equation of state under the assumption that the matter content of f(R,T) gravity is modeled by a barotropic perfect fluid. We also examine the way in which these soliton structures both reveal and limit the underlying symmetries of the spacetime geometry. Furthermore, we obtain modified Poisson and Liouville equations associated with these solitons in such a gravitational setting. Additionally, we explore certain harmonic aspects of the h-almost conformal η-Ricci–Bourguignon soliton on a spacetime filled with a barotropic perfect fluid, considering a harmonic potential function Ψ. Finally, we present physical interpretations of the conformal pressure p˜ in the context of the h-almost conformal η-Ricci–Bourguignon soliton within f(R,T) gravity.

    Cited by 2
  • Website
    Google Scholar
    Open Access

    Weakly B-Symmetric Warped Product Manifolds with Applications

    by Bang-Yen Chen, Sameh Shenawy, Uday Chand De, Safaa Ahmed, Hanan Alohali

    This work presents a comprehensive study of weakly B-symmetric warped product manifolds (WBS)n, a natural extension of several classical curvature-restricted geometries including B-flat, B-parallel, and B-recurrent manifolds. We begin by formulating the fundamental properties of the B-tensor B(X,Y)=aS(X,Y)+brg(X,Y), where S is the Ricci tensor, r the scalar curvature, and a,b are smooth non-vanishing functions. The warped product structure is then exploited to obtain explicit curvature identities for base and fiber manifolds under various geometric constraints. Detailed characterizations are established for Einstein conditions, Codazzi-type tensors, cyclic parallel tensors, and the behavior of geodesic vector fields. The weakly B-symmetric condition is analyzed through all possible projections of vector fields, leading to sharp criteria describing the interaction between the warping function and curvature. Several applications are discussed in the context of Lorentzian geometry, including perfect fluid and generalized Robertson–Walker spacetimes in general relativity. These results not only unify different curvature-restricted frameworks but also reveal new geometric and physical implications of warped product manifolds endowed with weak B-symmetry.

  • Website
    Google Scholar
    Open Access

    Analysis of the Quasi-Concircular Curvature Tensor on Sequential Warped Product Manifolds

    by Rajesh Kumar, Sameh Shenawy, Johnson Lalrohlua, Hanan Alohali, Carlo Mantica

    This paper investigates the quasi-concircular curvature tensor on sequential warped product manifolds, which extend the classical singly warped product structure. We examine various curvature conditions associated with this tensor, including quasi-concircular flatness, quasi-concircular symmetry, and the divergence-free quasi-concircular condition, and we explore the properties of related soliton structures. In addition, we analyze the implications of these results in Lorentzian geometry by deriving explicit expressions for the Ricci tensor and scalar curvature of the considered manifolds. The study concludes with an illustrative example that emphasizes the geometric significance and potential applications of the investigated structures.

    Cited by 2
  • Website
    Google Scholar
    Open Access

    Applications of Disaffinity Vectors to Certain Riemannian Manifolds

    by Hanan Alohali, Sharief Deshmukh, Bang-Yen Chen

    A disaffinity vector on a Riemannian manifold is a vector field whose affinity tensor vanishes. In this paper, we prove that every disaffinity vector on a compact Riemannian manifold is an incompressible vector field. Then, we discover a sufficient condition for an incompressible vector field to be disaffinity. Next, we study trans-Sasakian 3-manifolds whose Reeb vector field is disaffinity and obtain two sufficient conditions for a trans-Sasakian 3-manifold to be homothetic to a Sasakian 3-manifold. Finally, we prove that a complete Riemannian manifold admitting a non-harmonic disaffinity function satisfying the Eikonal equation and a Ricci curvature inequality is isometric to a Euclidean space.

    Cited by 1
  • Website
    Google Scholar
    Open Access

    Generalization of the Fuzzy Fejér–Hadamard Inequalities for Non-Convex Functions over a Rectangle Plane

    by Hanan Alohali, Valer-Daniel Breaz, Omar Mutab Alsalami, Luminita-Ioana Cotirla, Ahmed Alamer

    Integral inequalities with generalized convexity play a vital role in both theoretical and applied mathematics. The theory of integral inequalities is one of the branches of mathematics that is now developing at the quickest rate due to its wide range of applications. We define a new Hermite–Hadamard inequality for the novel class of coordinated ƛ-pre-invex fuzzy number-valued mappings (C-ƛ-pre-invex FNVMs) and examine the idea of C-ƛ-pre-invex FNVMs in this paper. Furthermore, using C-ƛ-pre-invex FNVMs, we construct several new integral inequalities for fuzzy double Riemann integrals. Several well-known results, as well as recently discovered results, are included in these findings as special circumstances. We think that the findings in this work are new and will help to stimulate more research in this area in the future. Additionally, unique choices lead to new outcomes.

    Cited by 1
  • Website
    Google Scholar
    Open Access

    Hodge Decomposition of Conformal Vector Fields on a Riemannian Manifold and Its Applications

    by Hanan Alohali, Sharief Deshmukh, Bang-Yen Chen, Hemangi Madhusudan Shah

    For a compact Riemannian m-manifold (Mm,g),m>1, endowed with a nontrivial conformal vector field ζ with a conformal factor σ, there is an associated skew-symmetric tensor φ called the associated tensor, and also, ζ admits the Hodge decomposition ζ=ζ¯+∇ρ, where ζ¯ satisfies divζ¯=0, which is called the Hodge vector, and ρ is the Hodge potential of ζ. The main purpose of this article is to initiate a study on the impact of the Hodge vector and its potential on Mm. The first result of this article states that a compact Riemannian m-manifold Mm is an m-sphere Sm(c) if and only if (1) for a nonzero constant c, the function −σ/c is a solution of the Poisson equation Δρ=mσ, and (2) the Ricci curvature satisfies Ricζ¯,ζ¯≥φ2. The second result states that if Mm has constant scalar curvature τ=m(m−1)c>0, then it is an Sm(c) if and only if the Ricci curvature satisfies Ricζ¯,ζ¯≥φ2 and the Hodge potential ρ satisfies a certain static perfect fluid equation. The third result provides another new characterization of Sm(c) using the affinity tensor of the Hodge vector ζ¯ of a conformal vector field ζ on a compact Riemannian manifold Mm with positive Ricci curvature. The last result states that a complete, connected Riemannian manifold Mm, m>2, is a Euclidean m-space if and only if it admits a nontrivial conformal vector field ζ whose affinity tensor vanishes identically and ζ annihilates its associated tensor φ.

    Cited by 3
  • Website
    Google Scholar
    Open Access

    An Introduction to Single-Valued Neutrosophic Primal Theory

    by Fahad Alsharari, Hanan Alohali, Yaser Saber, Florentin Smarandache

    This article explores the interconnections among the single-valued neutrosophic grill, single-valued neutrosophic primal and their stratification, uncovering their fundamental characteristics and correlated findings. By introducing the notion of a single-valued neutrosophic primal, a broader framework including the fuzzy primal and intuitionistic fuzzy primal is established. Additionally, the concept of a single-valued neutrosophic open local function for a single-valued neutrosophic topological space is presented. We introduce an operator based on a single-valued neutrosophic primal, illustrating that the single-valued neutrosophic primal topology is finer than the single-valued neutrosophic topology. Lastly, the concept of single-valued neutrosophic open compatibility between the single-valued neutrosophic primal and single-valued neutrosophic topologies is introduced, along with the establishment of several equivalent conditions related to this notion.

    Cited by 5
  • Website
    Google Scholar
    Open Access

    Applications of Horadam Polynomials for Bazilevič and λ-Pseudo-Starlike Bi-Univalent Functions Associated with Sakaguchi Type Functions

    by Isra Al-Shbeil, Abbas Kareem Wanas, Hala AlAqad, Adriana Cătaş, Hanan Alohali

    In this study, we introduce a new class of normalized analytic and bi-univalent functions denoted by DΣ(δ,η,λ,t,r). These functions are connected to the Bazilevič functions and the λ-pseudo-starlike functions. We employ Sakaguchi Type Functions and Horadam polynomials in our survey. We establish the Fekete-Szegö inequality for the functions in DΣ(δ,η,λ,t,r) and derive upper bounds for the initial Taylor–Maclaurin coefficients |a2| and |a3|. Additionally, we establish connections between our results and previous research papers on this topic.

    Cited by 8
  • Website
    Google Scholar
    Open Access

    Correction: Alohali et al. Ricci Vector Fields Revisited. Mathematics 2024, 12, 144

    by Hanan Alohali, Sharief Deshmukh, Gabriel-Eduard Vîlcu

Show all