Vector fields on bifurcation diagrams of quasi singularities DOI Creative Commons
Fawaz Alharbi, Yanlin Li

AIMS Mathematics, Journal Year: 2024, Volume and Issue: 9(12), P. 36047 - 36068

Published: Jan. 1, 2024

<p>We describe the generators of vector fields tangent to bifurcation diagrams and caustics simple quasi boundary singularities. As an application, submersions on pair $ (G, B) $, which consists a cuspidal edge G in \mathbb{R}^3 that contains distinguishing regular curve B are classified. This classification was used as means investigate contact general equipped with B\subset has planes. The singularities height functions discussed they related curvatures torsions distinguished curves edge. In addition this, discriminants versal deformations were accomplished described duality edge.</p>

Language: Английский

Characterization of Bach and Cotton Tensors on a Class of Lorentzian Manifolds DOI Creative Commons
Yanlin Li,

M. S. Siddesha,

H. Aruna Kumara

et al.

Mathematics, Journal Year: 2024, Volume and Issue: 12(19), P. 3130 - 3130

Published: Oct. 7, 2024

In this work, we aim to investigate the characteristics of Bach and Cotton tensors on Lorentzian manifolds, particularly those admitting a semi-symmetric metric ω-connection. First, prove that manifold ω-connection with parallel tensor is quasi-Einstein flat. Next, show any

Language: Английский

Citations

9
Euclidean hypersurfaces isometric to spheres DOI Creative Commons
Yanlin Li, Nasser Bin Turki, Sharief Deshmukh

et al.

AIMS Mathematics, Journal Year: 2024, Volume and Issue: 9(10), P. 28306 - 28319

Published: Jan. 1, 2024

<p>Given an immersed hypersurface $ M^{n} in the Euclidean space E^{n+1} $, tangential component $\boldsymbol{\omega }$ of position vector field is called basic field, and smooth function normal gives a \sigma on support hypersurface. In first result, we show that complete simply connected positive Ricci curvature with shape operator T invariant under satisfies static perfect fluid equation if only isometric to sphere. second compact gradient eigenvector eigenvalue mean H integral squared length \nabla has certain lower bound, giving characterization third incompressible }$, sphere.</p>

Language: Английский

Citations

7
A Conformal η-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold DOI Creative Commons
Yanlin Li,

A. Mallick,

Arindam Bhattacharyya

et al.

Axioms, Journal Year: 2024, Volume and Issue: 13(11), P. 753 - 753

Published: Oct. 31, 2024

This paper focuses on some geometrical and physical properties of a conformal η-Ricci soliton (Cη-RS) four-dimension Lorentzian Para-Sasakian (LP-S) manifold. The first section presents an introduction to Cη-RS LP-S manifolds, followed by discussion preliminary ideas about the LP-Sasakian In subsequent sections, we establish several results pertaining manifolds that exhibit Cη-RS. Additionally, consider certain conditions associated with manifolds. Besides these points view, this in perfect fluid spacetime obtain interesting properties. Finally, present case study

Language: Английский

Citations

6
Modified Sweeping Surfaces in Euclidean 3-Space DOI Creative Commons
Yanlin Li, Kemal Eren, Soley Ersoy

et al.

Axioms, Journal Year: 2024, Volume and Issue: 13(11), P. 800 - 800

Published: Nov. 18, 2024

In this study, we explore the sweeping surfaces in Euclidean 3-space, utilizing modified orthogonal frames with non-zero curvature and torsion, which allows us to consider spine curves even if their second differentiations vanish. If of curve a surface has discrete zero points, Frenet frame might undergo discontinuous change orientation. Therefore, conventional parametrization such cannot be given. Thus, introduce two types by considering curves; first one’s is not identically torsion zero. Then, determine criteria for classifying coordinate these as geodesic, asymptotic, or lines. Additionally, delve into determining minimal, developable, Weingarten. Through our analysis, aim clarify characteristics defining surfaces. We present graphical representations sample enhance understanding provide concrete examples that showcase properties.

Language: Английский

Citations

4
Exact Solutions to Fractional Schrödinger–Hirota Equation Using Auxiliary Equation Method DOI Creative Commons

Guangyuan Tian,

Xianji Meng

Axioms, Journal Year: 2024, Volume and Issue: 13(10), P. 663 - 663

Published: Sept. 26, 2024

In this paper, we consider the fractional Schrödinger–Hirota (FSH) equation in sense of a conformable derivative. Through traveling wave transformation, change FSH to an ordinary differential equation. We obtain several exact solutions through auxiliary method, including soliton, exponential and periodic solutions, which are useful analyze behaviors show that method improves speed discovery solutions.

Language: Английский

Citations

1
A Note on the Infinitesimal Bending of a Rectifying Curve DOI Open Access

Ştefan-Cezar Broscăţeanu,

Adela Mihai, Andreea Olteanu

et al.

Symmetry, Journal Year: 2024, Volume and Issue: 16(10), P. 1361 - 1361

Published: Oct. 14, 2024

Both notions, of an infinitesimal bending a curve and rectifying curve, play important roles in the theory curves. In this short note, we begin study curve.

Language: Английский

Citations

1
Vector fields on bifurcation diagrams of quasi singularities DOI Creative Commons
Fawaz Alharbi, Yanlin Li

AIMS Mathematics, Journal Year: 2024, Volume and Issue: 9(12), P. 36047 - 36068

Published: Jan. 1, 2024

<p>We describe the generators of vector fields tangent to bifurcation diagrams and caustics simple quasi boundary singularities. As an application, submersions on pair $ (G, B) $, which consists a cuspidal edge G in \mathbb{R}^3 that contains distinguishing regular curve B are classified. This classification was used as means investigate contact general equipped with B\subset has planes. The singularities height functions discussed they related curvatures torsions distinguished curves edge. In addition this, discriminants versal deformations were accomplished described duality edge.</p>

Language: Английский

Citations

0